\n \n \n
\n
\n \n 2023\n \n \n (5)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Grand Lebesgue spaces with mixed local and global aggrandization and the maximal and singular operators.\n \n \n \n\n\n \n Rafeiro, H.; Samko, S.; and Umarkhadzhiev, S.\n\n\n \n\n\n\n
Anal. Math., 49(4): 1087–1106. 2023.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07773827,\n Author = {Rafeiro, H. and Samko, S. and Umarkhadzhiev, S.},\n Title = {Grand {Lebesgue} spaces with mixed local and global aggrandization and the maximal and singular operators},\n FJournal = {Analysis Mathematica},\n Journal = {Anal. Math.},\n ISSN = {0133-3852},\n Volume = {49},\n Number = {4},\n Pages = {1087--1106},\n Year = {2023},\n Language = {English},\n DOI = {10.1007/s10476-023-0243-1},\n Keywords = {42B35,42B20,42B25},\n zbMATH = {7773827}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Local grand variable exponent Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Z. Anal. Anwend., 42(1-2): 1–15. 2023.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07761217,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Local grand variable exponent {Lebesgue} spaces},\n FJournal = {Zeitschrift f{\\"u}r Analysis und ihre Anwendungen},\n Journal = {Z. Anal. Anwend.},\n ISSN = {0232-2064},\n Volume = {42},\n Number = {1-2},\n Pages = {1--15},\n Year = {2023},\n Language = {English},\n DOI = {10.4171/ZAA/1719},\n Keywords = {42B35,42B20,42B25},\n zbMATH = {7761217}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Duality and interpolation for weighted grand Morrey spaces.\n \n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Tsanava, T.\n\n\n \n\n\n\n
Trans. A. Razmadze Math. Inst., 177(1): 149–155. 2023.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n \n \n 3 downloads\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07739506,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Tsanava, Tsira},\n Title = {Duality and interpolation for weighted grand {Morrey} spaces},\n FJournal = {Transactions of A. Razmadze Mathematical Institute},\n Journal = {Trans. A. Razmadze Math. Inst.},\n ISSN = {2346-8092},\n Volume = {177},\n Number = {1},\n Pages = {149--155},\n Year = {2023},\n Language = {English},\n Keywords = {26A33,42B20},\n URL = {rmi.tsu.ge/transactions/TRMI-volumes/177-1/r177(1)-7.pdf},\n zbMATH = {7739506}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n A note on Muckenhoupt weights with nonstandard growth.\n \n \n \n \n\n\n \n Almeida, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Trans. A. Razmadze Math. Inst., 177(1): 127–130. 2023.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n \n \n 4 downloads\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07739500,\n Author = {Almeida, Alexandre and Rafeiro, Humberto},\n Title = {A note on {Muckenhoupt} weights with nonstandard growth},\n FJournal = {Transactions of A. Razmadze Mathematical Institute},\n Journal = {Trans. A. Razmadze Math. Inst.},\n ISSN = {2346-8092},\n Volume = {177},\n Number = {1},\n Pages = {127--130},\n Year = {2023},\n Language = {English},\n Keywords = {42B25,46E30},\n URL = {rmi.tsu.ge/transactions/TRMI-volumes/177-1/r177(1)-1.pdf},\n zbMATH = {7739500},\n Zbl = {1522.42034}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Correction to: ``Maximal operator in variable Stummel spaces''.\n \n \n \n\n\n \n Almeida, A.; and Rafeiro, H.\n\n\n \n\n\n\n
J. Fourier Anal. Appl., 29(5): 4. 2023.\n
Id/No 54\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07739416,\n Author = {Almeida, Alexandre and Rafeiro, Humberto},\n Title = {Correction to: ``{Maximal} operator in variable {Stummel} spaces''},\n FJournal = {The Journal of Fourier Analysis and Applications},\n Journal = {J. Fourier Anal. Appl.},\n ISSN = {1069-5869},\n Volume = {29},\n Number = {5},\n Pages = {4},\n Note = {Id/No 54},\n Year = {2023},\n Language = {English},\n DOI = {10.1007/s00041-023-10033-3},\n Keywords = {46E30,42B35,42B25},\n zbMATH = {7739416}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2022\n \n \n (9)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Addendum to: ``On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space''.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Math. Methods Appl. Sci., 45(1): 557–560. 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07768005,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Addendum to: ``{On} the {Riesz} potential operator of variable order from variable exponent {Morrey} space to variable exponent {Campanato} space''},\n FJournal = {Mathematical Methods in the Applied Sciences},\n Journal = {Math. Methods Appl. Sci.},\n ISSN = {0170-4214},\n Volume = {45},\n Number = {1},\n Pages = {557--560},\n Year = {2022},\n Language = {English},\n DOI = {10.1002/mma.7796},\n Keywords = {47B38,46E30,26A33},\n zbMATH = {7768005}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Grand Lebesgue space for \\(p=∞\\) and its application to Sobolev-Adams embedding theorems in borderline cases.\n \n \n \n\n\n \n Rafeiro, H.; Samko, S.; and Umarkhadzhiev, S.\n\n\n \n\n\n\n
Math. Nachr., 295(5): 991–1007. 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07747279,\n Author = {Rafeiro, Humberto and Samko, Stefan and Umarkhadzhiev, Salaudin},\n Title = {Grand {Lebesgue} space for {{\\(p=\\infty\\)}} and its application to {Sobolev}-{Adams} embedding theorems in borderline cases},\n FJournal = {Mathematische Nachrichten},\n Journal = {Math. Nachr.},\n ISSN = {0025-584X},\n Volume = {295},\n Number = {5},\n Pages = {991--1007},\n Year = {2022},\n Language = {English},\n DOI = {10.1002/mana.202000347},\n Keywords = {26A33,46E30},\n zbMATH = {7747279}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Fractional operators from vanishing Morrey to vanishing Campanato spaces in the variable exponent setting on quasi-metric measure spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n In
Infinite dimensional analysis, quantum probability and applications, QP41. Proceedings of the 41st conference, United Arab Emirates University (UAEU), Al Ain, Abu Dhabi, United Arab Emirates, virtual, March 28 – April 1, 2021, pages 265–275. Cham: Springer, 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@InCollection{zbMATH07633106,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Fractional operators from vanishing {Morrey} to vanishing {Campanato} spaces in the variable exponent setting on quasi-metric measure spaces},\n BookTitle = {Infinite dimensional analysis, quantum probability and applications, QP41. Proceedings of the 41st conference, United Arab Emirates University (UAEU), Al Ain, Abu Dhabi, United Arab Emirates, virtual, March 28 -- April 1, 2021},\n ISBN = {978-3-031-06169-1; 978-3-031-06170-7},\n Pages = {265--275},\n Year = {2022},\n Publisher = {Cham: Springer},\n Language = {English},\n DOI = {10.1007/978-3-031-06170-7_16},\n Keywords = {46E36,47G10},\n zbMATH = {7633106},\n Zbl = {1512.46027}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Local grand Lebesgue spaces on quasi-metric measure spaces and some applications.\n \n \n \n\n\n \n Rafeiro, H.; Samko, S.; and Umarkhadzhiev, S.\n\n\n \n\n\n\n
Positivity, 26(3): 16. 2022.\n
Id/No 53\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07536244,\n Author = {Rafeiro, Humberto and Samko, Stefan and Umarkhadzhiev, Salaudin},\n Title = {Local grand {Lebesgue} spaces on quasi-metric measure spaces and some applications},\n FJournal = {Positivity},\n Journal = {Positivity},\n ISSN = {1385-1292},\n Volume = {26},\n Number = {3},\n Pages = {16},\n Note = {Id/No 53},\n Year = {2022},\n Language = {English},\n DOI = {10.1007/s11117-022-00915-z},\n Keywords = {42B35,42B20,42B25},\n zbMATH = {7536244},\n Zbl = {1494.42029}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Maximal operator in variable Stummel spaces.\n \n \n \n\n\n \n Almeida, A.; and Rafeiro, H.\n\n\n \n\n\n\n
J. Fourier Anal. Appl., 28(3): 24. 2022.\n
Id/No 50\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07533854,\n Author = {Almeida, Alexandre and Rafeiro, Humberto},\n Title = {Maximal operator in variable {Stummel} spaces},\n FJournal = {The Journal of Fourier Analysis and Applications},\n Journal = {J. Fourier Anal. Appl.},\n ISSN = {1069-5869},\n Volume = {28},\n Number = {3},\n Pages = {24},\n Note = {Id/No 50},\n Year = {2022},\n Language = {English},\n DOI = {10.1007/s00041-022-09940-8},\n Keywords = {46E30,42B35,42B25},\n zbMATH = {7533854},\n Zbl = {1501.46026}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces.\n \n \n \n\n\n \n Nafis, H.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
J. Funct. Spaces, 2022: 11. 2022.\n
Id/No 4845507\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07525266,\n Author = {Nafis, Hammad and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Boundedness of multilinear {Calder{\\'o}n}-{Zygmund} operators on grand variable {Herz} spaces},\n FJournal = {Journal of Function Spaces},\n Journal = {J. Funct. Spaces},\n ISSN = {2314-8896},\n Volume = {2022},\n Pages = {11},\n Note = {Id/No 4845507},\n Year = {2022},\n Language = {English},\n DOI = {10.1155/2022/4845507},\n Keywords = {42B20},\n zbMATH = {7525266},\n Zbl = {1508.42015}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Revisiting Taibleson's theorem.\n \n \n \n\n\n \n Rafeiro, H.; and Restrepo, J. E.\n\n\n \n\n\n\n
Electron Res. Arch., 30(2): 565–573. 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07510596,\n Author = {Rafeiro, Humberto and Restrepo, Joel E.},\n Title = {Revisiting {Taibleson}'s theorem},\n FJournal = {Electronic Research Archive},\n Journal = {Electron Res. Arch.},\n ISSN = {2688-1594},\n Volume = {30},\n Number = {2},\n Pages = {565--573},\n Year = {2022},\n Language = {English},\n DOI = {10.3934/era.2022029},\n Keywords = {46E30,46E15},\n zbMATH = {7510596},\n Zbl = {1496.46026}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Potential Anal., 56(3): 437–457. 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07496362,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Coincidence of variable exponent {Herz} spaces with variable exponent {Morrey} type spaces and boundedness of sublinear operators in these spaces},\n FJournal = {Potential Analysis},\n Journal = {Potential Anal.},\n ISSN = {0926-2601},\n Volume = {56},\n Number = {3},\n Pages = {437--457},\n Year = {2022},\n Language = {English},\n DOI = {10.1007/s11118-020-09891-z},\n Keywords = {46E30,47B38},\n zbMATH = {7496362},\n Zbl = {1494.46028}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On a class of sublinear operators in variable exponent Morrey-type spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Complex Var. Elliptic Equ., 67(3): 683–700. 2022.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07486021,\n Author = {Rafeiro, H. and Samko, S.},\n Title = {On a class of sublinear operators in variable exponent {Morrey}-type spaces},\n FJournal = {Complex Variables and Elliptic Equations},\n Journal = {Complex Var. Elliptic Equ.},\n ISSN = {1747-6933},\n Volume = {67},\n Number = {3},\n Pages = {683--700},\n Year = {2022},\n Language = {English},\n DOI = {10.1080/17476933.2021.1924156},\n Keywords = {46E30,42B25},\n zbMATH = {7486021},\n Zbl = {1494.46027}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2021\n \n \n (5)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Fractional operators in \\(p\\)-adic variable exponent Lebesgue spaces and application to \\(p\\)-adic derivative.\n \n \n \n\n\n \n Chacón-Cortés, L. F.; and Rafeiro, H.\n\n\n \n\n\n\n
J. Funct. Spaces, 2021: 9. 2021.\n
Id/No 3096701\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07413389,\n Author = {Chac{\\'o}n-Cort{\\'e}s, Leonardo Fabio and Rafeiro, Humberto},\n Title = {Fractional operators in {{\\(p\\)}}-adic variable exponent Lebesgue spaces and application to {{\\(p\\)}}-adic derivative},\n FJournal = {Journal of Function Spaces},\n Journal = {J. Funct. Spaces},\n ISSN = {2314-8896},\n Volume = {2021},\n Pages = {9},\n Note = {Id/No 3096701},\n Year = {2021},\n Language = {English},\n DOI = {10.1155/2021/3096701},\n Keywords = {47S10,46E30,26A33,42B25},\n zbMATH = {7413389},\n Zbl = {1492.47106}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Unique continuation of the quasilinear elliptic equation on Lebesgue spaces \\(L_p\\).\n \n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Rojas, E. M.\n\n\n \n\n\n\n
Azerb. J. Math., 11(1): 136–153. 2021.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07397338,\n Author = {Castillo, R. E. and Rafeiro, H. and Rojas, E. M.},\n Title = {Unique continuation of the quasilinear elliptic equation on {Lebesgue} spaces {{\\(L_p\\)}}},\n FJournal = {Azerbaijan Journal of Mathematics},\n Journal = {Azerb. J. Math.},\n ISSN = {2218-6816},\n Volume = {11},\n Number = {1},\n Pages = {136--153},\n Year = {2021},\n Language = {English},\n Keywords = {35J62,35B60},\n URL = {azjm.org/volumes/1101/pdf/1101-10.pdf},\n zbMATH = {7397338},\n Zbl = {1473.35258}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Boundedness of the Marcinkiewicz integral on grand variable Herz spaces.\n \n \n \n\n\n \n Nafis, H.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
J. Math. Inequal., 15(2): 739–753. 2021.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07371154,\n Author = {Nafis, Hammad and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Boundedness of the {Marcinkiewicz} integral on grand variable {Herz} spaces},\n FJournal = {Journal of Mathematical Inequalities},\n Journal = {J. Math. Inequal.},\n ISSN = {1846-579X},\n Volume = {15},\n Number = {2},\n Pages = {739--753},\n Year = {2021},\n Language = {English},\n DOI = {10.7153/jmi-2021-15-52},\n Keywords = {47G10,46E30},\n zbMATH = {7371154}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Banach J. Math. Anal., 15(3): 19. 2021.\n
Id/No 48\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07354435,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {On embeddings of {Morrey} type spaces between weighted {Lebesgue} or {Stummel} spaces with application to {Herz} spaces},\n FJournal = {Banach Journal of Mathematical Analysis},\n Journal = {Banach J. Math. Anal.},\n ISSN = {2662-2033},\n Volume = {15},\n Number = {3},\n Pages = {19},\n Note = {Id/No 48},\n Year = {2021},\n Language = {English},\n DOI = {10.1007/s43037-021-00128-8},\n Keywords = {46E30,42B35},\n zbMATH = {7354435},\n Zbl = {1483.46026}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n A note on Schur's lemma in Banach function spaces.\n \n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Rojas, E. M.\n\n\n \n\n\n\n
Aust. J. Math. Anal. Appl., 18(1): 8. 2021.\n
Id/No 9\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07328598,\n Author = {Castillo, R. E. and Rafeiro, H. and Rojas, E. M.},\n Title = {A note on {Schur}'s lemma in {Banach} function spaces},\n FJournal = {The Australian Journal of Mathematical Analysis and Applications},\n Journal = {Aust. J. Math. Anal. Appl.},\n ISSN = {1449-5910},\n Volume = {18},\n Number = {1},\n Pages = {8},\n Note = {Id/No 9},\n Year = {2021},\n Language = {English},\n Keywords = {46E30,26D15},\n URL = {ajmaa.org/cgi-bin/paper.pl?string=v18n1/V18I1P9.tex},\n zbMATH = {7328598},\n Zbl = {1488.46052}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2020\n \n \n (8)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n A note on the boundedness of sublinear operators on grand variable Herz spaces.\n \n \n \n\n\n \n Nafis, H.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
J. Inequal. Appl., 2020: 13. 2020.\n
Id/No 1\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07460782,\n Author = {Nafis, Hammad and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {A note on the boundedness of sublinear operators on grand variable {Herz} spaces},\n FJournal = {Journal of Inequalities and Applications},\n Journal = {J. Inequal. Appl.},\n ISSN = {1029-242X},\n Volume = {2020},\n Pages = {13},\n Note = {Id/No 1},\n Year = {2020},\n Language = {English},\n DOI = {10.1186/s13660-019-2265-6},\n Keywords = {42B20,46E30,42B25,46E35,42B35},\n zbMATH = {7460782},\n Zbl = {1503.42012}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces.\n \n \n \n\n\n \n Mukhamedov, F.; and Rafeiro, H.\n\n\n \n\n\n\n
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl., 31(4): 791–814. 2020.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07367169,\n Author = {Mukhamedov, Farrukh and Rafeiro, Humberto},\n Title = {Weighted strong laws of large numbers on variable exponent vector-valued {Lebesgue} spaces},\n FJournal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni},\n Journal = {Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl.},\n ISSN = {1120-6330},\n Volume = {31},\n Number = {4},\n Pages = {791--814},\n Year = {2020},\n Language = {English},\n DOI = {10.4171/RLM/915},\n Keywords = {47H25,28D05,37A05,60G10,47H60},\n zbMATH = {7367169}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Weighted Riesz bounded variation spaces and the Nemytskii operator.\n \n \n \n \n\n\n \n Cruz-Uribe, D.; Guzman, O. M.; and Rafeiro, H.\n\n\n \n\n\n\n
Azerb. J. Math., 10(2): 125–139. 2020.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07293037,\n Author = {Cruz-Uribe, D. and Guzman, O. M. and Rafeiro, H.},\n Title = {Weighted {Riesz} bounded variation spaces and the {Nemytskii} operator},\n FJournal = {Azerbaijan Journal of Mathematics},\n Journal = {Azerb. J. Math.},\n ISSN = {2218-6816},\n Volume = {10},\n Number = {2},\n Pages = {125--139},\n Year = {2020},\n Language = {English},\n Keywords = {26A45},\n URL = {azjm.org/volumes/1002/pdf/1002-10.pdf},\n zbMATH = {7293037},\n Zbl = {1455.26005}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Math. Methods Appl. Sci., 43(16): 9337–9344. 2020.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07279054,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {On the {Riesz} potential operator of variable order from variable exponent {Morrey} space to variable exponent {Campanato} space},\n FJournal = {Mathematical Methods in the Applied Sciences},\n Journal = {Math. Methods Appl. Sci.},\n ISSN = {0170-4214},\n Volume = {43},\n Number = {16},\n Pages = {9337--9344},\n Year = {2020},\n Language = {English},\n DOI = {10.1002/mma.6187},\n Keywords = {47B38,46E30,26A33},\n zbMATH = {7279054}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Herz spaces meet Morrey type spaces and complementary Morrey type spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
J. Fourier Anal. Appl., 26(5): 13. 2020.\n
Id/No 74\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07261229,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Herz spaces meet {Morrey} type spaces and complementary {Morrey} type spaces},\n FJournal = {The Journal of Fourier Analysis and Applications},\n Journal = {J. Fourier Anal. Appl.},\n ISSN = {1069-5869},\n Volume = {26},\n Number = {5},\n Pages = {13},\n Note = {Id/No 74},\n Year = {2020},\n Language = {English},\n DOI = {10.1007/s00041-020-09778-y},\n Keywords = {46E30,47B38,42B35},\n zbMATH = {7261229},\n Zbl = {1464.46035}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \\(p\\)-adic numbers.\n \n \n \n\n\n \n Chacón-Cortés, L. F.; and Rafeiro, H.\n\n\n \n\n\n\n
\\(p\\)-Adic Numbers Ultrametric Anal. Appl., 12(2): 90–111. 2020.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07220202,\n Author = {Chac{\\'o}n-Cort{\\'e}s, Leonardo Fabio and Rafeiro, Humberto},\n Title = {Variable exponent {Lebesgue} spaces and {Hardy}-{Littlewood} maximal function on {{\\(p\\)}}-adic numbers},\n FJournal = {\\(p\\)-Adic Numbers, Ultrametric Analysis, and Applications},\n Journal = {\\(p\\)-Adic Numbers Ultrametric Anal. Appl.},\n ISSN = {2070-0466},\n Volume = {12},\n Number = {2},\n Pages = {90--111},\n Year = {2020},\n Language = {English},\n DOI = {10.1134/S2070046620020028},\n Keywords = {42B25,42B35,46E30,46S10},\n zbMATH = {7220202},\n Zbl = {1451.42025}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Corrigendum to: ``Variable exponent bounded variation spaces in the Riesz sense''.\n \n \n \n\n\n \n Castillo, R. E.; Guzmán, O. M.; and Rafeiro, H.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 197: 2. 2020.\n
Id/No 111963\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07204872,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Guzm{\\'a}n, Oscar Mauricio and Rafeiro, Humberto},\n Title = {Corrigendum to: ``{Variable} exponent bounded variation spaces in the {Riesz} sense''},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {197},\n Pages = {2},\n Note = {Id/No 111963},\n Year = {2020},\n Language = {English},\n DOI = {10.1016/j.na.2020.111963},\n Keywords = {26A45,26A42,26A46},\n zbMATH = {7204872},\n Zbl = {1434.26019}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n A note on vanishing Morrey \\(→\\) VMO result for fractional integrals of variable order.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 23(1): 298–302. 2020.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07195731,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {A note on vanishing {Morrey} {{\\(\\rightarrow\\)}} {VMO} result for fractional integrals of variable order},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {23},\n Number = {1},\n Pages = {298--302},\n Year = {2020},\n Language = {English},\n DOI = {10.1515/fca-2020-0013},\n Keywords = {46E30,26A33,43A85},\n zbMATH = {7195731},\n Zbl = {1453.46023}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2019\n \n \n (7)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n On singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces.\n \n \n \n\n\n \n Karapetyants, A. N.; Rafeiro, H.; and Samko, S. G.\n\n\n \n\n\n\n
Math. Notes, 106(5): 727–739. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07179656,\n Author = {Karapetyants, A. N. and Rafeiro, H. and Samko, S. G.},\n Title = {On singular operators in vanishing generalized variable-exponent {Morrey} spaces and applications to {Bergman}-type spaces},\n FJournal = {Mathematical Notes},\n Journal = {Math. Notes},\n ISSN = {0001-4346},\n Volume = {106},\n Number = {5},\n Pages = {727--739},\n Year = {2019},\n Language = {English},\n DOI = {10.1134/S0001434619110075},\n Keywords = {42B20,46E30,42B35},\n zbMATH = {7179656},\n Zbl = {1434.42019}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Linear functionals on variable exponent Bochner-Lebesgue spaces.\n \n \n \n\n\n \n Castillo, R. E.; Guzmán, O. M.; and Rafeiro, H.\n\n\n \n\n\n\n
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl., 30(3): 583–597. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07130641,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Guzm{\\'a}n, Oscar M. and Rafeiro, Humberto},\n Title = {Linear functionals on variable exponent {Bochner}-{Lebesgue} spaces},\n FJournal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni},\n Journal = {Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl.},\n ISSN = {1120-6330},\n Volume = {30},\n Number = {3},\n Pages = {583--597},\n Year = {2019},\n Language = {English},\n DOI = {10.4171/RLM/861},\n Keywords = {46E30},\n zbMATH = {7130641},\n Zbl = {1455.46029}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Commutators of sublinear operators in grand Morrey spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Stud. Sci. Math. Hung., 56(2): 211–232. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07101344,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto},\n Title = {Commutators of sublinear operators in grand {Morrey} spaces},\n FJournal = {Studia Scientiarum Mathematicarum Hungarica},\n Journal = {Stud. Sci. Math. Hung.},\n ISSN = {0081-6906},\n Volume = {56},\n Number = {2},\n Pages = {211--232},\n Year = {2019},\n Language = {English},\n DOI = {10.1556/012.2019.56.2.1425},\n Keywords = {47B38,26A33,42B20},\n zbMATH = {7101344},\n Zbl = {1463.47105}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Multiplication operator on Köthe spaces: measure of non-compactness and closed range.\n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; Ramos-Fernández, J. C.; and Salas-Brown, M.\n\n\n \n\n\n\n
Bull. Malays. Math. Sci. Soc. (2), 42(4): 1523–1534. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07093443,\n Author = {Castillo, Ren{\\'e} Erlin and Rafeiro, Humberto and Ramos-Fern{\\'a}ndez, Julio C. and Salas-Brown, Margot},\n Title = {Multiplication operator on {K{\\"o}the} spaces: measure of non-compactness and closed range},\n FJournal = {Bulletin of the Malaysian Mathematical Sciences Society. Second Series},\n Journal = {Bull. Malays. Math. Sci. Soc. (2)},\n ISSN = {0126-6705},\n Volume = {42},\n Number = {4},\n Pages = {1523--1534},\n Year = {2019},\n Language = {English},\n DOI = {10.1007/s40840-017-0562-0},\n Keywords = {47B38,46E30,46B42},\n zbMATH = {7093443}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n BMO-VMO results for fractional integrals in variable exponent Morrey spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 184: 35–43. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07081195,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {{BMO}-{VMO} results for fractional integrals in variable exponent {Morrey} spaces},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {184},\n Pages = {35--43},\n Year = {2019},\n Language = {English},\n DOI = {10.1016/j.na.2019.01.020},\n Keywords = {46E30,26A33,43A85,47G10},\n zbMATH = {7081195},\n Zbl = {1459.46038}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces.\n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
Georgian Math. J., 26(1): 105–116. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07059653,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {On the boundedness of {Marcinkiewicz} integrals on continual variable exponent {Herz} spaces},\n FJournal = {Georgian Mathematical Journal},\n Journal = {Georgian Math. J.},\n ISSN = {1072-947X},\n Volume = {26},\n Number = {1},\n Pages = {105--116},\n Year = {2019},\n Language = {English},\n DOI = {10.1515/gmj-2017-0050},\n Keywords = {42B20,42B25},\n zbMATH = {7059653},\n Zbl = {1427.42020}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Boundedness of the Bergman projection and some properties of Bergman type spaces.\n \n \n \n\n\n \n Karapetyants, A.; Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Complex Anal. Oper. Theory, 13(1): 275–289. 2019.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07032880,\n Author = {Karapetyants, Alexey and Rafeiro, Humberto and Samko, Stefan},\n Title = {Boundedness of the {Bergman} projection and some properties of {Bergman} type spaces},\n FJournal = {Complex Analysis and Operator Theory},\n Journal = {Complex Anal. Oper. Theory},\n ISSN = {1661-8254},\n Volume = {13},\n Number = {1},\n Pages = {275--289},\n Year = {2019},\n Language = {English},\n DOI = {10.1007/s11785-018-0780-y},\n Keywords = {30H20,30H99,46E30,46E15},\n zbMATH = {7032880},\n Zbl = {1421.30070}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2018\n \n \n (4)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Interpolation of an analytic family of operators on variable exponent Morrey spaces.\n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
Hiroshima Math. J., 48(3): 335–346. 2018.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07032361,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Interpolation of an analytic family of operators on variable exponent {Morrey} spaces},\n FJournal = {Hiroshima Mathematical Journal},\n Journal = {Hiroshima Math. J.},\n ISSN = {0018-2079},\n Volume = {48},\n Number = {3},\n Pages = {335--346},\n Year = {2018},\n Language = {English},\n DOI = {10.32917/hmj/1544238031},\n Keywords = {46B70,46E30},\n zbMATH = {7032361},\n Zbl = {1414.46019}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n A note on Merentes-Riesz bounded variation spaces.\n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Trousselot, E.\n\n\n \n\n\n\n
Miskolc Math. Notes, 19(1): 157–170. 2018.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06965916,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto and Trousselot, Eduard},\n Title = {A note on {Merentes}-{Riesz} bounded variation spaces},\n FJournal = {Miskolc Mathematical Notes},\n Journal = {Miskolc Math. Notes},\n ISSN = {1787-2405},\n Volume = {19},\n Number = {1},\n Pages = {157--170},\n Year = {2018},\n Language = {English},\n DOI = {10.18514/MMN.2018.1988},\n Keywords = {26A45,26A16,26A24,26B30},\n zbMATH = {6965916},\n Zbl = {1413.26020}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability.\n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
Ann. Funct. Anal., 9(3): 310–321. 2018.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06946356,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Central {Calder{\\'o}n}-{Zygmund} operators on {Herz}-type {Hardy} spaces of variable smoothness and integrability},\n FJournal = {Annals of Functional Analysis},\n Journal = {Ann. Funct. Anal.},\n ISSN = {2639-7390},\n Volume = {9},\n Number = {3},\n Pages = {310--321},\n Year = {2018},\n Language = {English},\n DOI = {10.1215/20088752-2017-0030},\n Keywords = {42B20,42B35,47G10},\n zbMATH = {6946356},\n Zbl = {1400.42014}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Grand Lebesgue sequence spaces.\n \n \n \n\n\n \n Rafeiro, H.; Samko, S.; and Umarkhadzhiev, S.\n\n\n \n\n\n\n
Georgian Math. J., 25(2): 291–302. 2018.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06882474,\n Author = {Rafeiro, Humberto and Samko, Stefan and Umarkhadzhiev, Salaudin},\n Title = {Grand {Lebesgue} sequence spaces},\n FJournal = {Georgian Mathematical Journal},\n Journal = {Georgian Math. J.},\n ISSN = {1072-947X},\n Volume = {25},\n Number = {2},\n Pages = {291--302},\n Year = {2018},\n Language = {English},\n DOI = {10.1515/gmj-2018-0017},\n Keywords = {46E39,46A45,42B05,42B25},\n zbMATH = {6882474},\n Zbl = {1401.46025}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2017\n \n \n (10)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n On a Taylor remainder.\n \n \n \n\n\n \n Persson, L.; and Rafeiro, H.\n\n\n \n\n\n\n
Acta Math. Acad. Paedagog. Nyházi. (N.S.), 33(2): 195–198. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH07011076,\n Author = {Persson, Lars-Erik and Rafeiro, Humberto},\n Title = {On a {Taylor} remainder},\n FJournal = {Acta Mathematica Academiae Paedagogicae Ny{\\'{\\i}}regyh{\\'a}ziensis. New Series},\n Journal = {Acta Math. Acad. Paedagog. Nyh{\\'a}zi. (N.S.)},\n ISSN = {0866-0182},\n Volume = {33},\n Number = {2},\n Pages = {195--198},\n Year = {2017},\n Language = {English},\n Keywords = {26A06,26A15},\n zbMATH = {7011076},\n Zbl = {1413.26004}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Historical synopsis of the Taylor remainder.\n \n \n \n\n\n \n Persson, L.; Rafeiro, H.; and Wall, P.\n\n\n \n\n\n\n
Note Mat., 37(1): 1–22. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06865896,\n Author = {Persson, Lars-Erik and Rafeiro, Humberto and Wall, Peter},\n Title = {Historical synopsis of the {Taylor} remainder},\n FJournal = {Note di Matematica},\n Journal = {Note Mat.},\n ISSN = {1123-2536},\n Volume = {37},\n Number = {1},\n Pages = {1--22},\n Year = {2017},\n Language = {English},\n DOI = {10.1285/i15900932v37n1p1},\n Keywords = {26-03,01A50,01A55,26A06},\n zbMATH = {6865896},\n Zbl = {1387.26001}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Boundedness of sublinear operators in weighted grand Morrey spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Math. Notes, 102(5): 664–676. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06845171,\n Author = {Kokilashvili, V. and Meskhi, A. and Rafeiro, H.},\n Title = {Boundedness of sublinear operators in weighted grand {Morrey} spaces},\n FJournal = {Mathematical Notes},\n Journal = {Math. Notes},\n ISSN = {0001-4346},\n Volume = {102},\n Number = {5},\n Pages = {664--676},\n Year = {2017},\n Language = {English},\n DOI = {10.1134/S0001434617110062},\n Keywords = {42B25,46E30},\n zbMATH = {6845171},\n Zbl = {1432.42011}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Integral Equations Oper. Theory, 89(1): 111–124. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06816337,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Maximal operator with rough kernel in variable {Musielak}-{Morrey}-{Orlicz} type spaces, variable {Herz} spaces and grand variable {Lebesgue} spaces},\n FJournal = {Integral Equations and Operator Theory},\n Journal = {Integral Equations Oper. Theory},\n ISSN = {0378-620X},\n Volume = {89},\n Number = {1},\n Pages = {111--124},\n Year = {2017},\n Language = {English},\n DOI = {10.1007/s00020-017-2398-2},\n Keywords = {42B25,46E30},\n zbMATH = {6816337},\n Zbl = {1387.42020}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Carleson measures for variable exponent Bergman spaces.\n \n \n \n\n\n \n Chacón, G. R.; Rafeiro, H.; and Vallejo, J. C.\n\n\n \n\n\n\n
Complex Anal. Oper. Theory, 11(7): 1623–1638. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06814632,\n Author = {Chac{\\'o}n, Gerardo R. and Rafeiro, Humberto and Vallejo, Juan Camilo},\n Title = {Carleson measures for variable exponent {Bergman} spaces},\n FJournal = {Complex Analysis and Operator Theory},\n Journal = {Complex Anal. Oper. Theory},\n ISSN = {1661-8254},\n Volume = {11},\n Number = {7},\n Pages = {1623--1638},\n Year = {2017},\n Language = {English},\n DOI = {10.1007/s11785-016-0573-0},\n Keywords = {30H20,46E15},\n zbMATH = {6814632},\n Zbl = {1387.30081}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Complex interpolation on variable exponent Campanato spaces of order \\(k\\).\n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
Complex Var. Elliptic Equ., 62(6): 795–813. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06711554,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Complex interpolation on variable exponent {Campanato} spaces of order {{\\(k\\)}}},\n FJournal = {Complex Variables and Elliptic Equations},\n Journal = {Complex Var. Elliptic Equ.},\n ISSN = {1747-6933},\n Volume = {62},\n Number = {6},\n Pages = {795--813},\n Year = {2017},\n Language = {English},\n DOI = {10.1080/17476933.2016.1244190},\n Keywords = {46B70,46E30},\n zbMATH = {6711554},\n Zbl = {1373.46013}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Nemytskii operator in Riesz-bounded variation spaces with variable exponent.\n \n \n \n\n\n \n Castillo, R. E.; Guzmán, O. M.; and Rafeiro, H.\n\n\n \n\n\n\n
Mediterr. J. Math., 14(1): 11. 2017.\n
Id/No 2\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06707129,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Guzm{\\'a}n, Oscar Mauricio and Rafeiro, Humberto},\n Title = {Nemytskii operator in {Riesz}-bounded variation spaces with variable exponent},\n FJournal = {Mediterranean Journal of Mathematics},\n Journal = {Mediterr. J. Math.},\n ISSN = {1660-5446},\n Volume = {14},\n Number = {1},\n Pages = {11},\n Note = {Id/No 2},\n Year = {2017},\n Language = {English},\n DOI = {10.1007/s00009-016-0801-x},\n Keywords = {47H30,26A45},\n zbMATH = {6707129},\n Zbl = {1476.47039}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Light side of compactness in Lebesgue spaces: Sudakov theorem.\n \n \n \n\n\n \n Górka, P.; and Rafeiro, H.\n\n\n \n\n\n\n
Ann. Acad. Sci. Fenn., Math., 42(1): 135–139. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06690988,\n Author = {G{\\'o}rka, Przemys{\\l}aw and Rafeiro, Humberto},\n Title = {Light side of compactness in {Lebesgue} spaces: {Sudakov} theorem},\n FJournal = {Annales Academiae Scientiarum Fennicae. Mathematica},\n Journal = {Ann. Acad. Sci. Fenn., Math.},\n ISSN = {1239-629X},\n Volume = {42},\n Number = {1},\n Pages = {135--139},\n Year = {2017},\n Language = {English},\n DOI = {10.5186/aasfm.2017.4209},\n Keywords = {46B50,46E30},\n zbMATH = {6690988},\n Zbl = {1370.46012}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Corrigendum to: ``From Arzelà-Ascoli to Riesz-Kolmogorov''.\n \n \n \n\n\n \n Górka, P.; and Rafeiro, H.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 149: 177–179. 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06657478,\n Author = {G{\\'o}rka, Przemys{\\l}aw and Rafeiro, Humberto},\n Title = {Corrigendum to: ``{From} {Arzel{\\`a}}-{Ascoli} to {Riesz}-{Kolmogorov}''.},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {149},\n Pages = {177--179},\n Year = {2017},\n Language = {English},\n DOI = {10.1016/j.na.2016.10.021},\n Keywords = {46B50,46E30},\n zbMATH = {6657478},\n Zbl = {1362.46022}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Functional analysis. A terse introduction.\n \n \n \n\n\n \n Chacón, G. R.; Rafeiro, H.; and Vallejo, J. C.\n\n\n \n\n\n\n of De Gruyter Textb.Berlin: De Gruyter, 2017.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Book{zbMATH06563089,\n Author = {Chac{\\'o}n, Gerardo R. and Rafeiro, Humberto and Vallejo, Juan Camilo},\n Title = {Functional analysis. {A} terse introduction},\n FSeries = {De Gruyter Textbook},\n Series = {De Gruyter Textb.},\n ISBN = {978-3-11-044191-8; 978-3-11-044192-5},\n Year = {2017},\n Publisher = {Berlin: De Gruyter},\n Language = {English},\n DOI = {10.1515/9783110441925},\n Keywords = {46-01},\n zbMATH = {6563089},\n Zbl = {1362.46001}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2016\n \n \n (10)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Sublinear operators in generalized weighted Morrey spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Dokl. Math., 94(2): 558–560. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06688877,\n Author = {Kokilashvili, V. and Meskhi, A. and Rafeiro, H.},\n Title = {Sublinear operators in generalized weighted {Morrey} spaces},\n FJournal = {Doklady Mathematics},\n Journal = {Dokl. Math.},\n ISSN = {1064-5624},\n Volume = {94},\n Number = {2},\n Pages = {558--560},\n Year = {2016},\n Language = {English},\n DOI = {10.1134/S1064562416050203},\n Keywords = {47-XX,42Bxx},\n zbMATH = {6688877}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Toeplitz operators on variable exponent Bergman spaces.\n \n \n \n\n\n \n Chacón, G. R.; and Rafeiro, H.\n\n\n \n\n\n\n
Mediterr. J. Math., 13(5): 3525–3536. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06661851,\n Author = {Chac{\\'o}n, Gerardo R. and Rafeiro, Humberto},\n Title = {Toeplitz operators on variable exponent {Bergman} spaces},\n FJournal = {Mediterranean Journal of Mathematics},\n Journal = {Mediterr. J. Math.},\n ISSN = {1660-5446},\n Volume = {13},\n Number = {5},\n Pages = {3525--3536},\n Year = {2016},\n Language = {English},\n DOI = {10.1007/s00009-016-0701-0},\n Keywords = {30H20,47B35},\n zbMATH = {6661851},\n Zbl = {1354.30049}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n From Arzelà-Ascoli to Riesz-Kolmogorov.\n \n \n \n\n\n \n Górka, P.; and Rafeiro, H.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 144: 23–31. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06618020,\n Author = {G{\\'o}rka, Przemys{\\l}aw and Rafeiro, Humberto},\n Title = {From {Arzel{\\`a}}-{Ascoli} to {Riesz}-{Kolmogorov}},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {144},\n Pages = {23--31},\n Year = {2016},\n Language = {English},\n DOI = {10.1016/j.na.2016.06.004},\n Keywords = {46B50,46E30},\n zbMATH = {6618020},\n Zbl = {1362.46021}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On maximal and potential operators with rough kernels in variable exponent spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl., 27(3): 309–325. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06610792,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {On maximal and potential operators with rough kernels in variable exponent spaces},\n FJournal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni},\n Journal = {Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl.},\n ISSN = {1120-6330},\n Volume = {27},\n Number = {3},\n Pages = {309--325},\n Year = {2016},\n Language = {English},\n DOI = {10.4171/RLM/736},\n Keywords = {42B25,42B20,42B35,46E30},\n zbMATH = {6610792},\n Zbl = {1344.42016}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Fractional integrals and derivatives: mapping properties.\n \n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 19(3): 580–607. 2016.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06604012,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Fractional integrals and derivatives: mapping properties},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {19},\n Number = {3},\n Pages = {580--607},\n Year = {2016},\n Language = {English},\n DOI = {10.1515/fca-2016-0032},\n Keywords = {26A33,46E30},\n URL = {hdl.handle.net/10400.1/9445},\n zbMATH = {6604012},\n Zbl = {1351.26016}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Interpolation on variable Morrey spaces defined on quasi-metric measure spaces.\n \n \n \n\n\n \n Meskhi, A.; Rafeiro, H.; and Zaighum, M. A.\n\n\n \n\n\n\n
J. Funct. Anal., 270(10): 3946–3961. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06567743,\n Author = {Meskhi, Alexander and Rafeiro, Humberto and Zaighum, Muhammad Asad},\n Title = {Interpolation on variable {Morrey} spaces defined on quasi-metric measure spaces},\n FJournal = {Journal of Functional Analysis},\n Journal = {J. Funct. Anal.},\n ISSN = {0022-1236},\n Volume = {270},\n Number = {10},\n Pages = {3946--3961},\n Year = {2016},\n Language = {English},\n DOI = {10.1016/j.jfa.2015.11.013},\n Keywords = {46B70,46E30},\n zbMATH = {6567743},\n Zbl = {1351.46018}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n An introductory course in Lebesgue spaces.\n \n \n \n\n\n \n Castillo, R. E.; and Rafeiro, H.\n\n\n \n\n\n\n of CMS Books Math./Ouvrages Math. SMCCham: Springer, 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Book{zbMATH06567172,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto},\n Title = {An introductory course in {Lebesgue} spaces},\n FSeries = {CMS Books in Mathematics/Ouvrages de Math{\\'e}matiques de la SMC},\n Series = {CMS Books Math./Ouvrages Math. SMC},\n ISSN = {1613-5237},\n ISBN = {978-3-319-30032-0; 978-3-319-30034-4},\n Year = {2016},\n Publisher = {Cham: Springer},\n Language = {English},\n DOI = {10.1007/978-3-319-30034-4},\n Keywords = {46-02,46E30,47G10},\n zbMATH = {6567172},\n Zbl = {1352.46003}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Variable exponent bounded variation spaces in the Riesz sense.\n \n \n \n\n\n \n Castillo, R. E.; Guzmán, O. M.; and Rafeiro, H.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 132: 173–182. 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06523840,\n Author = {Castillo, Ren{\\'e} E. and Guzm{\\'a}n, Oscar Mauricio and Rafeiro, Humberto},\n Title = {Variable exponent bounded variation spaces in the {Riesz} sense},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {132},\n Pages = {173--182},\n Year = {2016},\n Language = {English},\n DOI = {10.1016/j.na.2015.10.019},\n Keywords = {26A45,26A42,26A46},\n zbMATH = {6523840},\n Zbl = {1334.26015}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n Volume 249 of Oper. Theory: Adv. Appl.Basel: Birkhäuser/Springer, 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Book{zbMATH06482034,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto and Samko, Stefan},\n Title = {Integral operators in non-standard function spaces. {Volume} 2: {Variable} exponent {H{\\"o}lder}, {Morrey}-{Campanato} and {Grand} spaces},\n FSeries = {Operator Theory: Advances and Applications},\n Series = {Oper. Theory: Adv. Appl.},\n ISSN = {0255-0156},\n Volume = {249},\n ISBN = {978-3-319-21017-9; 978-3-319-21018-6; 978-3-319-21153-4},\n Year = {2016},\n Publisher = {Basel: Birkh{\\"a}user/Springer},\n Language = {English},\n DOI = {10.1007/978-3-319-21018-6},\n Keywords = {47-02,47G10,45P05,47L05},\n zbMATH = {6482034},\n Zbl = {1367.47004}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n Volume 248 of Oper. Theory: Adv. Appl.Basel: Birkhäuser/Springer, 2016.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Book{zbMATH06482033,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto and Samko, Stefan},\n Title = {Integral operators in non-standard function spaces. {Volume} 1: {Variable} exponent {Lebesgue} and amalgam spaces},\n FSeries = {Operator Theory: Advances and Applications},\n Series = {Oper. Theory: Adv. Appl.},\n ISSN = {0255-0156},\n Volume = {248},\n ISBN = {978-3-319-21014-8; 978-3-319-21015-5; 978-3-319-21153-4},\n Year = {2016},\n Publisher = {Basel: Birkh{\\"a}user/Springer},\n Language = {English},\n DOI = {10.1007/978-3-319-21015-5},\n Keywords = {47-02,47G10,45P05,45E99},\n zbMATH = {6482033},\n Zbl = {1385.47001}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2015\n \n \n (5)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n \n Multiplication operators in variable Lebesgue spaces.\n \n \n \n \n\n\n \n Castillo, R. E.; Ramos Fernández, J. C.; and Rafeiro, H.\n\n\n \n\n\n\n
Rev. Colomb. Mat., 49(2): 293–305. 2015.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06715732,\n Author = {Castillo, Ren{\\'e} Erlin and Ramos Fern{\\'a}ndez, Julio C. and Rafeiro, Humberto},\n Title = {Multiplication operators in variable {Lebesgue} spaces},\n FJournal = {Revista Colombiana de Matem{\\'a}ticas},\n Journal = {Rev. Colomb. Mat.},\n ISSN = {0034-7426},\n Volume = {49},\n Number = {2},\n Pages = {293--305},\n Year = {2015},\n Language = {English},\n DOI = {10.15446/recolma.v49n2.60447},\n Keywords = {47B38,46E30},\n URL = {semanticscholar.org/paper/7ea0818a28f9f7ae8baaa2e1b986ff9aec397ec3},\n zbMATH = {6715732}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Space of functions with some generalization of bounded variation in the sense of de La Vallée Poussin.\n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Trousselot, E.\n\n\n \n\n\n\n
J. Funct. Spaces, 2015: 9. 2015.\n
Id/No 605380\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06474225,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto and Trousselot, Eduard},\n Title = {Space of functions with some generalization of bounded variation in the sense of de {La} {Vall{\\'e}e} {Poussin}},\n FJournal = {Journal of Function Spaces},\n Journal = {J. Funct. Spaces},\n ISSN = {2314-8896},\n Volume = {2015},\n Pages = {9},\n Note = {Id/No 605380},\n Year = {2015},\n Language = {English},\n DOI = {10.1155/2015/605380},\n Keywords = {46E35,26A45},\n zbMATH = {6474225},\n Zbl = {1343.46033}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Inequalities with conjugate exponents in grand Lebesgue space.\n \n \n \n\n\n \n Erlín Castillo, R.; and Rafeiro, H.\n\n\n \n\n\n\n
Hacet. J. Math. Stat., 44(1): 33–39. 2015.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06470776,\n Author = {Erl{\\'{\\i}}n Castillo, Ren{\\'e} and Rafeiro, Humberto},\n Title = {Inequalities with conjugate exponents in grand {Lebesgue} space},\n FJournal = {Hacettepe Journal of Mathematics and Statistics},\n Journal = {Hacet. J. Math. Stat.},\n ISSN = {1303-5010},\n Volume = {44},\n Number = {1},\n Pages = {33--39},\n Year = {2015},\n Language = {English},\n Keywords = {46E30,26D15},\n zbMATH = {6470776},\n Zbl = {1343.46025}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Riesz potential operator in continual variable exponents Herz spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Math. Nachr., 288(4): 465–475. 2015.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06423975,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Riesz potential operator in continual variable exponents {Herz} spaces},\n FJournal = {Mathematische Nachrichten},\n Journal = {Math. Nachr.},\n ISSN = {0025-584X},\n Volume = {288},\n Number = {4},\n Pages = {465--475},\n Year = {2015},\n Language = {English},\n DOI = {10.1002/mana.201300270},\n Keywords = {46E30,47B38},\n zbMATH = {6423975},\n Zbl = {1325.46034}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On the compactness in grand spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Vargas, A.\n\n\n \n\n\n\n
Georgian Math. J., 22(1): 141–152. 2015.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06413170,\n Author = {Rafeiro, Humberto and Vargas, Andr{\\'e}s},\n Title = {On the compactness in grand spaces},\n FJournal = {Georgian Mathematical Journal},\n Journal = {Georgian Math. J.},\n ISSN = {1072-947X},\n Volume = {22},\n Number = {1},\n Pages = {141--152},\n Year = {2015},\n Language = {English},\n DOI = {10.1515/gmj-2014-0060},\n Keywords = {46E30,46E35,46B50},\n zbMATH = {6413170},\n Zbl = {1335.46023}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2014\n \n \n (8)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n \n A generalization for the Riesz \\(p\\)-variation.\n \n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Trousselot, E.\n\n\n \n\n\n\n
Rev. Colomb. Mat., 48(2): 165–190. 2014.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06643212,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto and Trousselot, Eduard},\n Title = {A generalization for the {Riesz} {{\\(p\\)}}-variation},\n FJournal = {Revista Colombiana de Matem{\\'a}ticas},\n Journal = {Rev. Colomb. Mat.},\n ISSN = {0034-7426},\n Volume = {48},\n Number = {2},\n Pages = {165--190},\n Year = {2014},\n Language = {English},\n DOI = {10.15446/recolma.v48n2.54123},\n Keywords = {26A45,26B30,26A16,26A24},\n URL = {www.scielo.org.co/pdf/rcm/v48n2/v48n2a03.pdf},\n zbMATH = {6643212},\n Zbl = {1351.26020}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Embeddings on spaces of generalized bounded variation.\n \n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Trousselot, E.\n\n\n \n\n\n\n
Rev. Colomb. Mat., 48(1): 97–109. 2014.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06643208,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto and Trousselot, Eduard},\n Title = {Embeddings on spaces of generalized bounded variation},\n FJournal = {Revista Colombiana de Matem{\\'a}ticas},\n Journal = {Rev. Colomb. Mat.},\n ISSN = {0034-7426},\n Volume = {48},\n Number = {1},\n Pages = {97--109},\n Year = {2014},\n Language = {English},\n DOI = {10.15446/recolma.v48n1.45197},\n Keywords = {26A45,26B30,26A16,26A24},\n URL = {revistas.unal.edu.co/index.php/recolma/article/view/45197},\n zbMATH = {6643208},\n Zbl = {1351.26019}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Bounded variation spaces with \\(p\\)-variable.\n \n \n \n\n\n \n Castillo, R. E.; Merentes, N.; and Rafeiro, H.\n\n\n \n\n\n\n
Mediterr. J. Math., 11(4): 1069–1079. 2014.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06398998,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Merentes, Nelson and Rafeiro, Humberto},\n Title = {Bounded variation spaces with {{\\(p\\)}}-variable},\n FJournal = {Mediterranean Journal of Mathematics},\n Journal = {Mediterr. J. Math.},\n ISSN = {1660-5446},\n Volume = {11},\n Number = {4},\n Pages = {1069--1079},\n Year = {2014},\n Language = {English},\n DOI = {10.1007/s00009-013-0342-5},\n Keywords = {26A45,26B30},\n zbMATH = {6398998},\n Zbl = {1307.26008}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Nemytskii operator on generalized bounded variation space.\n \n \n \n\n\n \n Castillo, R. E.; Rafeiro, H.; and Trousselot, E.\n\n\n \n\n\n\n
Rev. Integr., 32(1): 71–90. 2014.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06335385,\n Author = {Castillo, Ren{\\'e} Erl{\\'{\\i}}n and Rafeiro, Humberto and Trousselot, Eduard},\n Title = {Nemytskii operator on generalized bounded variation space},\n FJournal = {Revista Integraci{\\'o}n},\n Journal = {Rev. Integr.},\n ISSN = {0120-419X},\n Volume = {32},\n Number = {1},\n Pages = {71--90},\n Year = {2014},\n Language = {English},\n Keywords = {26A45,26B30,47H30},\n zbMATH = {6335385},\n Zbl = {1298.26032}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Complex Var. Elliptic Equ., 59(8): 1169–1184. 2014.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06302013,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto},\n Title = {Estimates for nondivergence elliptic equations with {VMO} coefficients in generalized grand {Morrey} spaces},\n FJournal = {Complex Variables and Elliptic Equations},\n Journal = {Complex Var. Elliptic Equ.},\n ISSN = {1747-6933},\n Volume = {59},\n Number = {8},\n Pages = {1169--1184},\n Year = {2014},\n Language = {English},\n DOI = {10.1080/17476933.2013.831844},\n Keywords = {35R05,35J25,35B65,42B20},\n zbMATH = {6302013},\n Zbl = {1290.35285}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Grand Bochner-Lebesgue space and its associate space.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
J. Funct. Anal., 266(4): 2125–2136. 2014.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06299492,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto},\n Title = {Grand {Bochner}-{Lebesgue} space and its associate space},\n FJournal = {Journal of Functional Analysis},\n Journal = {J. Funct. Anal.},\n ISSN = {0022-1236},\n Volume = {266},\n Number = {4},\n Pages = {2125--2136},\n Year = {2014},\n Language = {English},\n DOI = {10.1016/j.jfa.2013.10.027},\n Keywords = {46E40},\n zbMATH = {6299492},\n Zbl = {1308.46052}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Variable exponent Bergman spaces.\n \n \n \n\n\n \n Chacón, G. R.; and Rafeiro, H.\n\n\n \n\n\n\n
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods, 105: 41–49. 2014.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06293781,\n Author = {Chac{\\'o}n, Gerardo R. and Rafeiro, Humberto},\n Title = {Variable exponent {Bergman} spaces},\n FJournal = {Nonlinear Analysis. Theory, Methods \\& Applications. Series A: Theory and Methods},\n Journal = {Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods},\n ISSN = {0362-546X},\n Volume = {105},\n Pages = {41--49},\n Year = {2014},\n Language = {English},\n DOI = {10.1016/j.na.2014.04.001},\n Keywords = {30H20,46E30},\n zbMATH = {6293781},\n Zbl = {1288.30059}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n On minimization of a non-convex functional in variable exponent spaces.\n \n \n \n\n\n \n Chacón, G. R.; Colucci, R.; Rafeiro, H.; and Vargas, A.\n\n\n \n\n\n\n
Int. J. Math., 25(1): 19. 2014.\n
Id/No 1450011\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06284965,\n Author = {Chac{\\'o}n, Gerardo R. and Colucci, Renato and Rafeiro, Humberto and Vargas, Andr{\\'e}s},\n Title = {On minimization of a non-convex functional in variable exponent spaces},\n FJournal = {International Journal of Mathematics},\n Journal = {Int. J. Math.},\n ISSN = {0129-167X},\n Volume = {25},\n Number = {1},\n Pages = {19},\n Note = {Id/No 1450011},\n Year = {2014},\n Language = {English},\n DOI = {10.1142/S0129167X14500116},\n Keywords = {49J20,35J20,74G65,46E30},\n zbMATH = {6284965},\n Zbl = {1287.49004}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2013\n \n \n (4)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Stud. Math., 217(2): 159–178. 2013.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06212159,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto},\n Title = {Boundedness of commutators of singular and potential operators in generalized grand {Morrey} spaces and some applications},\n FJournal = {Studia Mathematica},\n Journal = {Stud. Math.},\n ISSN = {0039-3223},\n Volume = {217},\n Number = {2},\n Pages = {159--178},\n Year = {2013},\n Language = {English},\n DOI = {10.4064/sm217-2-4},\n Keywords = {42B20,42B25,42B35,42B37},\n zbMATH = {6212159},\n Zbl = {1292.42009}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Morrey-Campanato spaces: an overview.\n \n \n \n\n\n \n Rafeiro, H.; Samko, N.; and Samko, S.\n\n\n \n\n\n\n In
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume, pages 293–323. Basel: Birkhäuser/Springer, 2013.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@InCollection{zbMATH06153571,\n Author = {Rafeiro, Humberto and Samko, Natasha and Samko, Stefan},\n Title = {Morrey-{Campanato} spaces: an overview},\n BookTitle = {Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume},\n ISBN = {978-3-0348-0536-0; 978-3-0348-0537-7},\n Pages = {293--323},\n Year = {2013},\n Publisher = {Basel: Birkh{\\"a}user/Springer},\n Language = {English},\n DOI = {10.1007/978-3-0348-0537-7_15},\n Keywords = {46E30,46E35},\n zbMATH = {6153571},\n Zbl = {1273.46019}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Riesz type potential operators in generalized grand Morrey spaces.\n \n \n \n\n\n \n Kokilashvili, V.; Meskhi, A.; and Rafeiro, H.\n\n\n \n\n\n\n
Georgian Math. J., 20(1): 43–64. 2013.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06152711,\n Author = {Kokilashvili, Vakhtang and Meskhi, Alexander and Rafeiro, Humberto},\n Title = {Riesz type potential operators in generalized grand {Morrey} spaces},\n FJournal = {Georgian Mathematical Journal},\n Journal = {Georgian Math. J.},\n ISSN = {1072-947X},\n Volume = {20},\n Number = {1},\n Pages = {43--64},\n Year = {2013},\n Language = {English},\n DOI = {10.1515/gmj-2013-0009},\n Keywords = {46E30,42B20,42B25},\n zbMATH = {6152711},\n Zbl = {1280.46017}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n A note on boundedness of operators in grand grand Morrey spaces.\n \n \n \n\n\n \n Rafeiro, H.\n\n\n \n\n\n\n In
Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011, pages 349–356. Basel: Birkhäuser, 2013.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@InCollection{zbMATH06149171,\n Author = {Rafeiro, Humberto},\n Title = {A note on boundedness of operators in grand grand {Morrey} spaces},\n BookTitle = {Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June -- July, 2011},\n ISBN = {978-3-0348-0515-5; 978-3-0348-0516-2},\n Pages = {349--356},\n Year = {2013},\n Publisher = {Basel: Birkh{\\"a}user},\n Language = {English},\n DOI = {10.1007/978-3-0348-0516-2_19},\n Keywords = {46E30,42B20},\n zbMATH = {6149171},\n Zbl = {1280.46019}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2011\n \n \n (2)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n The Chen-Marchaud fractional integro-differentiation in the variable exponent Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Yakhshiboev, M.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 14(3): 343–360. 2011.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH06217549,\n Author = {Rafeiro, Humberto and Yakhshiboev, Makhmadiyor},\n Title = {The {Chen}-{Marchaud} fractional integro-differentiation in the variable exponent {Lebesgue} spaces},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {14},\n Number = {3},\n Pages = {343--360},\n Year = {2011},\n Language = {English},\n DOI = {10.2478/s13540-011-0022-8},\n Keywords = {46E30,47B38,26A33},\n zbMATH = {6217549},\n Zbl = {1273.46020}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Variable exponent Campanato spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
J. Math. Sci., New York, 172(1): 143–164. 2011.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05924711,\n Author = {Rafeiro, H. and Samko, S.},\n Title = {Variable exponent {Campanato} spaces},\n FJournal = {Journal of Mathematical Sciences (New York)},\n Journal = {J. Math. Sci., New York},\n ISSN = {1072-3374},\n Volume = {172},\n Number = {1},\n Pages = {143--164},\n Year = {2011},\n Language = {English},\n DOI = {10.1007/s10958-010-0189-2},\n Keywords = {46E30},\n zbMATH = {5924711},\n Zbl = {1230.46027}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2010\n \n \n (1)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
J. Math. Anal. Appl., 365(2): 483–497. 2010.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05676121,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Characterization of the variable exponent {Bessel} potential spaces via the {Poisson} semigroup},\n FJournal = {Journal of Mathematical Analysis and Applications},\n Journal = {J. Math. Anal. Appl.},\n ISSN = {0022-247X},\n Volume = {365},\n Number = {2},\n Pages = {483--497},\n Year = {2010},\n Language = {English},\n DOI = {10.1016/j.jmaa.2009.11.008},\n Keywords = {46E30,46E35},\n zbMATH = {5676121},\n Zbl = {1194.46044}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2009\n \n \n (2)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Kolmogorov compactness criterion in variable exponent Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.\n\n\n \n\n\n\n
Proc. A. Razmadze Math. Inst., 150: 105–113. 2009.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05605526,\n Author = {Rafeiro, H.},\n Title = {Kolmogorov compactness criterion in variable exponent {Lebesgue} spaces},\n FJournal = {Proceedings of A. Razmadze Mathematical Institute},\n Journal = {Proc. A. Razmadze Math. Inst.},\n ISSN = {1512-0007},\n Volume = {150},\n Pages = {105--113},\n Year = {2009},\n Language = {English},\n Keywords = {46E30,46B50},\n zbMATH = {5605526},\n Zbl = {1190.46030}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Hardy type inequality in variable Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Ann. Acad. Sci. Fenn., Math., 34(1): 279–289. 2009.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05556762,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Hardy type inequality in variable {Lebesgue} spaces},\n FJournal = {Annales Academiae Scientiarum Fennicae. Mathematica},\n Journal = {Ann. Acad. Sci. Fenn., Math.},\n ISSN = {1239-629X},\n Volume = {34},\n Number = {1},\n Pages = {279--289},\n Year = {2009},\n Language = {English},\n Keywords = {47B38,46E35,42B35},\n zbMATH = {5556762},\n Zbl = {1177.47045}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2008\n \n \n (4)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n Dominated compactness theorem in Banach function spaces and its applications.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Complex Anal. Oper. Theory, 2(4): 669–681. 2008.\n
\n\n
\n\n
\n\n
\n\n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05646606,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Dominated compactness theorem in {Banach} function spaces and its applications},\n FJournal = {Complex Analysis and Operator Theory},\n Journal = {Complex Anal. Oper. Theory},\n ISSN = {1661-8254},\n Volume = {2},\n Number = {4},\n Pages = {669--681},\n Year = {2008},\n Language = {English},\n DOI = {10.1007/s11785-008-0072-z},\n Keywords = {47B07,47B38,47B48,47N20},\n zbMATH = {5646606},\n Zbl = {1186.47017}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Approximative method for the inversion of the Riesz potential operator in variable Lebesgue spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 11(3): 269–280. 2008.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05498906,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Approximative method for the inversion of the {Riesz} potential operator in variable {Lebesgue} spaces},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {11},\n Number = {3},\n Pages = {269--280},\n Year = {2008},\n Language = {English},\n Keywords = {46E30,47B38,26A33},\n zbMATH = {5498906},\n Zbl = {1165.46012}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n Characterization of the range of one-dimensional fractional integration in the space with variable exponent.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n In
Operator algebras, operator theory and applications. Selected papers of the international summer school and workshop, WOAT 2006, Lisbon, Portugal, September 1–5, 2006, pages 393–416. Basel: Birkhäuser, 2008.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@InCollection{zbMATH05347876,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {Characterization of the range of one-dimensional fractional integration in the space with variable exponent},\n BookTitle = {Operator algebras, operator theory and applications. Selected papers of the international summer school and workshop, WOAT 2006, Lisbon, Portugal, September 1--5, 2006},\n ISBN = {978-3-7643-8683-2},\n Pages = {393--416},\n Year = {2008},\n Publisher = {Basel: Birkh{\\"a}user},\n Language = {English},\n Keywords = {46E30,47B38,26A33},\n zbMATH = {5347876},\n Zbl = {1160.46022}\n}\n\n
\n
\n\n\n\n
\n\n\n
\n
\n\n \n \n \n \n \n \n Inversion of the Bessel potential operator in weighted variable Lebesgue spaces.\n \n \n \n \n\n\n \n Almeida, A.; and Rafeiro, H.\n\n\n \n\n\n\n
J. Math. Anal. Appl., 340(2): 1336–1346. 2008.\n
\n\n
\n\n
\n\n
\n\n \n \n
Paper\n \n \n\n \n \n doi\n \n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05235239,\n Author = {Almeida, Alexandre and Rafeiro, Humberto},\n Title = {Inversion of the {Bessel} potential operator in weighted variable {Lebesgue} spaces},\n FJournal = {Journal of Mathematical Analysis and Applications},\n Journal = {J. Math. Anal. Appl.},\n ISSN = {0022-247X},\n Volume = {340},\n Number = {2},\n Pages = {1336--1346},\n Year = {2008},\n Language = {English},\n DOI = {10.1016/j.jmaa.2007.09.064},\n Keywords = {47A58,47B34,47B38},\n URL = {hdl.handle.net/10400.1/11119},\n zbMATH = {5235239},\n Zbl = {1148.47010}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2007\n \n \n (1)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n On a class of fractional type integral equations in variable exponent spaces.\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 10(4): 399–421. 2007.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05316714,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {On a class of fractional type integral equations in variable exponent spaces},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {10},\n Number = {4},\n Pages = {399--421},\n Year = {2007},\n Language = {English},\n Keywords = {45E10,45P05,46E30,26A33},\n zbMATH = {5316714},\n Zbl = {1152.45003}\n}\n\n
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n
\n
\n \n 2005\n \n \n (1)\n \n \n
\n
\n \n \n
\n
\n\n \n \n \n \n \n On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in \\(\\mathbb R^n\\).\n \n \n \n\n\n \n Rafeiro, H.; and Samko, S.\n\n\n \n\n\n\n
Fract. Calc. Appl. Anal., 8(4): 393–401. 2005.\n
\n\n
\n\n
\n\n
\n\n \n\n \n\n \n link\n \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n \n \n \n \n \n \n \n\n\n\n
\n
@Article{zbMATH05123338,\n Author = {Rafeiro, Humberto and Samko, Stefan},\n Title = {On multidimensional analogue of {Marchaud} formula for fractional {Riesz}-type derivatives in domains in {{\\(\\mathbb R^n\\)}}},\n FJournal = {Fractional Calculus \\& Applied Analysis},\n Journal = {Fract. Calc. Appl. Anal.},\n ISSN = {1311-0454},\n Volume = {8},\n Number = {4},\n Pages = {393--401},\n Year = {2005},\n Language = {English},\n Keywords = {42B20,26A33},\n zbMATH = {5123338},\n Zbl = {1141.42014}\n}
\n
\n\n\n\n
\n\n\n\n\n\n
\n
\n\n\n\n\n