Necessary and sufficient conditions on weighted multilinear fractional integral inequality

DOI10.3934/cpaa.2021196zbMath1482.42041OpenAlexW4205323608MaRDI QIDQ2075896

Di Wu, Yongliang Zhou, Yangkendi Deng, Yan, Dunyan

Publication date: 16 February 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021196

zbMATH Keywords

boundednessweightedStein-Weiss inequalitymultilinear fractional integral functionalnecessary and sufficient and conditions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

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• Sharp constants for a class of multilinear integral operators and some applications
• Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality
• On the multilinear fractional integral operators with correlation kernels
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Necessary and Sufficient Conditions of Doubly Weighted Hardy-Littlewood-Sobolev Inequality

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