On Gaussian interpolation inequalities

On Gaussian interpolation inequalities

This paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré and the logarithmic Sobolev inequalities, seen as limits in large dimensions of Gagliardo–Nirenberg–Sobolev inequalities on spheres. Entropy methods are investigated using not only...

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Bibliographic Details
Main Authors: Brigati, Giovanni, Dolbeault, Jean, Simonov, Nikita
Format: Article
Language:English
Published: Académie des sciences 2024-02-01
Series:Comptes Rendus. Mathématique
Subjects:
logarithmic Sobolev inequality
Gagliardo–Nirenberg–Sobolev inequalities
Gaussian Poincaré inequality
sphere
spectral decomposition
entropy methods
Ornstein–Uhlenbeck operator
nonlinear diffusions
improved inequalities
stability
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.488/
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https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.488/

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