@article{WOS:000345081000010,
abstract = {The main objective of this paper is a study of the general refinement
and converse of the multidimensional Hilbert-type inequality in the
so-called quotient form. Such extensions are deduced with the help of
the sophisticated use of the well-known Holder's inequality. The
obtained results are then applied to homogeneous kernels with the
negative degree of homogeneity. Also, we establish the conditions under
which the constant factors involved in the established inequalities are
the best possible. Finally, we consider some particular settings with
homogeneous kernels and weighted functions. In such a way we obtain both
refinements and converses of some actual results, known from the
literature.},
address = {SOLIPSKA 14A-1, 02-482 WARSAW, POLAND},
author = {Krnic, Mario},
doi = {10.2478/s12175-014-0267-x},
issn = {0139-9918},
journal = {MATHEMATICA SLOVACA},
keywords = {Hilbert-type inequality; conjugate exponents; Hold},
month = oct,
number = {5},
pages = {1165--1182},
publisher = {DE GRUYTER OPEN LTD},
title = {{On a strengthened multidimensional Hilbert-type inequality}},
type = {Article},
volume = {64},
year = {2014}
}

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