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NECESSARY AND SUFFICIENT CONDITIONS ON WEIGHTED MULTILINEAR FRACTIONAL INTEGRAL INEQUALITY

  • Release time:2024-12-12
  • Hits:

  • Journal: 

    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

  • Key Words: 

    Stein-Weiss inequality, multilinear fractional integral functional, weighted, boundedness, necessary and sufficient and conditions.

  • Abstract: 

    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.

  • Co-author: 

    Zhou, YL,Deng, YKD,Wu, D,Yan,

  • Volume: 

    2

  • ISSN No.: 

    1534-0392

  • Translation or Not: 

    no

  • Date of Publication: 

    2022

  • Links to published journals: 

    https://www.aimsciences.org/article/doi/10.3934/cpaa.2021196