Hardy-Littlewood-Sobolev inequality for upper half space

DOI10.5802/ambp.401zbMath1486.42008OpenAlexW4223961428MaRDI QIDQ2127431

V. P. Anoop, Sanjay Parui

Publication date: 20 April 2022

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.401

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityweighted Hardy inequalityDunkl transform

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities for sums, series and integrals (26D15) Harmonic analysis and PDEs (42B37)

Cites Work

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• Riesz transform and Riesz potentials for Dunkl transform
• Riesz potential and maximal function for Dunkl transform
• Convolution operator and maximal function for the Dunkl transform
• Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
• Two results on the Dunkl maximal operator
• Weighted Hardy–Littlewood–Sobolev inequalities on the upper half space
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space

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