On Gaussian interpolation inequalities

DOI10.5802/crmath.488arXiv2302.03926OpenAlexW4391484497MaRDI QIDQ6195149

Nikita Simonov, Jean Dolbeault, Giovanni Brigati

Publication date: 13 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.03926

zbMATH Keywords

stabilityspherelogarithmic Sobolev inequalityspectral decompositionentropy methodsOrnstein-Uhlenbeck operatorGagliardo-Nirenberg-Sobolev inequalitiesnonlinear diffusionsimproved inequalitiesGaussian Poincaré inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Functional inequalities, including subadditivity, convexity, etc. (39B62) Harmonic analysis and spherical functions (43A90) Inequalities involving derivatives and differential and integral operators (26D10) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

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