On Lie groups and hyperbolic symmetry -- from Kunze-Stein phenomena to Riesz potentials

DOI10.1016/j.na.2015.06.009zbMath1344.22002OpenAlexW811003184WikidataQ115342947 ScholiaQ115342947MaRDI QIDQ494209

William Beckner

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.06.009

zbMATH Keywords

Lie groupshyperbolic symmetry

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Related Items (12)

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 ⋮ Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach ⋮ Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces ⋮ The Keller--Segel System on the Two-Dimensional-Hyperbolic Space ⋮ SOME WEAK GEOMETRIC INEQUALITIES FOR THE RIESZ POTENTIAL ⋮ Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions ⋮ Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators ⋮ Symmetry in Fourier analysis: Heisenberg group to Stein-Weiss integrals ⋮ Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces ⋮ Centered Hardy-Littlewood maximal function on product manifolds ⋮ Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions

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