Symmetry in Fourier analysis: Heisenberg group to Stein-Weiss integrals

DOI10.1007/s12220-020-00589-7zbMath1471.42018OpenAlexW3122112551WikidataQ114221040 ScholiaQ114221040MaRDI QIDQ2050531

William Beckner

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00589-7

zbMATH Keywords

symmetryinequalitiesHeisenberg groupSobolev embeddingStein-Weiss integrals

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items

Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces ⋮ Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities in unit ball and sharp constants in dimension three

Cites Work

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• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Mathematics and Computation
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• Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces
• Vortex Dynamics
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• Riemannian geometry
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