Necessary and sufficient conditions on weighted multilinear fractional integral inequality | Zendy

Yongliang Zhou | Zendy; Yangkendi Deng | Zendy; Di Wu | Zendy; Dunyan Yan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Necessary and sufficient conditions on weighted multilinear fractional integral inequality

Author(s) -

Yongliang Zhou,

Yangkendi Deng,

Di Wu,

Dunyan Yan

Publication year - 2022

Publication title -

communications on pure andamp 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research