Hypercontractivity on the unit circle for ultraspherical measures: linear case

DOI10.4171/RMI/1305MaRDI QIDQ2157365

Paata Ivanisvili, Paul F. X. Müller, Alexander Lindenberger, Michael Schmuckenschlaeger

Publication date: 27 July 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05567

zbMATH Keywords

functional inequalitieshypercontractivitybest constantsultraspherical measure

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Cites Work

• The complex convexity of quasi-normed linear spaces
• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• 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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