Hypercontractivity of the semigroup of the fractional Laplacian on the \(n\)-sphere

DOI10.1016/J.JFA.2021.109145zbMath1472.39048arXiv2101.06209OpenAlexW3174209258MaRDI QIDQ2042705

Paata Ivanisvili, Rupert L. Frank

Publication date: 21 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06209

zbMATH Keywords

Poisson semigrouphypercontractivity\(n\)-sphere

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (3)

Well-posedness for a class of pseudodifferential diffusion equations on the torus ⋮ On Poisson semigroup hypercontractivity for higher-dimensional spheres ⋮ Drift diffusion equations with fractional diffusion on compact Lie groups

Cites Work

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• \(L^p\)-norms of Hermite polynomials and an extremal problem on Wiener chaos
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• The free Markoff field
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.

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