On Poisson semigroup hypercontractivity for higher-dimensional spheres

DOI10.1134/S001626632203008XOpenAlexW4318710400MaRDI QIDQ2696653

Yanyan Li

Publication date: 17 April 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001626632203008x

zbMATH Keywords

Poisson semigrouphypercontractivityhigher-dimensional sphere

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

Cites Work

• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• \(L^p\)-norms of Hermite polynomials and an extremal problem on Wiener chaos
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• Hypercontractivity of the semigroup of the fractional Laplacian 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.
• Logarithmic Sobolev Inequalities

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