Open AccessNecessary and sufficient conditions on weighted multilinear fractional integral inequality
Author(s) -
Zhou Yongliang,
Yirong Deng,
Di Wu,
Dunyan Yan
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021196
Subject(s) - multilinear map , mathematics , inequality , sobolev space , pure mathematics , fractional calculus , mathematical analysis
We consider certain kinds of weighted multi-linear fractional integral inequalities which can be regarded as extensions of the Hardy-Littlewood-Sobolev inequality. For a particular case, we characterize the sufficient and necessary conditions which ensure that the corresponding inequality holds. For the general case, we give some sufficient conditions and necessary conditions, respectively.