Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator

DOI10.1016/j.jde.2023.02.035OpenAlexW4327629261MaRDI QIDQ2699823

Vít Musil, Andrea Cianchi, Luboš Pick

Publication date: 19 April 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.14193

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• An optimal logarithmic Sobolev inequality with Lipschitz constants
• Moser inequalities in Gauss space
• Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
• Mass transport and variants of the logarithmic Sobolev inequality
• Pointwise symmetrization inequalities for Sobolev functions and applications
• On the role of convexity in isoperimetry, spectral gap and concentration
• Optimal Gaussian Sobolev embeddings
• Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
• Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup
• The Brunn-Minkowski inequality in Gauss space
• On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
• A proof of a logarithmic Sobolev inequality
• Operators associated with the Hermite semigroup - a survey
• Sobolev-Orlicz imbeddings, weak compactness, and spectrum
• A comparison result related to Gauss measure
• Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded
• Sharp exponential inequalities for the Ornstein-Uhlenbeck operator
• Higher-order Sobolev embeddings and isoperimetric inequalities
• The free Markoff field
• Hardy type inequalities and Gaussian measure
• Compactness of higher-order Sobolev embeddings
• Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
• Elliptic equations on manifolds and isoperimetric inequalities
• Comparison and regularity results for degenerate elliptic equations related to Gauss measure
• Hypercontractive Semigroups and Sobolev's Inequality
• Logarithmic Sobolev Inequalities
• Some connections between isoperimetric and Sobolev-type inequalities
• Gaussian Harmonic Analysis
• Ornstein–Uhlenbeck operators and semigroups
• Regularity results for degenerate elliptic equations related to Gauss measure
• Sobolev Spaces
• On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
• Function Spaces
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement
• Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces

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