Sharp constants in the doubly weighted Hardy-Littlewood-Sobolev inequality

DOI10.1007/s11425-013-4681-2zbMath1304.42052OpenAlexW2145625335MaRDI QIDQ476926

Zuoshunhua Shi, Di Wu, Yan, Dunyan

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4681-2

zbMATH Keywords

Schur's lemmaHardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (8)

Sharp constants for a class of multilinear integral operators and some applications ⋮ Remainder terms for several inequalities on some groups of Heisenberg-type ⋮ On a \(k\)-fold beta integral formula ⋮ Iterated weak and weak mixed-norm spaces with applications to geometric inequalities ⋮ Weighted Hardy-Littlewood-Sobolev-type inequality for \(\psi\)-Riemann-Liouville fractional integrals ⋮ Stein-Weiss type inequality on the upper half space and its applications ⋮ Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type ⋮ Necessary and sufficient conditions on weighted multilinear fractional integral inequality

Cites Work

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• Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Weighted inequalities and Stein-Weiss potentials
• Pitt's inequality with sharp convolution estimates
• Necessary and Sufficient Conditions of Doubly Weighted Hardy-Littlewood-Sobolev Inequality

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