A family of integral inequalities on the circle \(S^{1}\)

DOI10.3792/pjaa.86.55zbMath1204.47046OpenAlexW2019089782MaRDI QIDQ989438

Abdellatif Bentaleb, Saïd Fahlaoui

Publication date: 20 August 2010

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.86.55

zbMATH Keywords

logarithmic Sobolev inequalityPoincaré inequalityspectral gapSobolev inequalityChebyshev semigroup

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Inequalities for sums, series and integrals (26D15) Harmonic analysis in one variable (42A99)

Related Items (3)

Sharp interpolation inequalities on the sphere: new methods and consequences ⋮ Improved interpolation inequalities on the sphere ⋮ Interpolation inequalities on the sphere: linear vs. nonlinear flows

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A generalization of Poincaré and log-Sobolev inequalities
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• Interpolation between logarithmic Sobolev and Poincaré inequalities
• A Generalized Poincare Inequality for Gaussian Measures
• Logarithmic Sobolev Inequalities
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