Reinforcement of an inequality due to Brascamp and Lieb

DOI10.1016/j.jfa.2007.07.019zbMath1138.28002OpenAlexW2027371326MaRDI QIDQ2469822

Gilles Hargé

Publication date: 11 February 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.07.019

zbMATH Keywords

semigroupsPoincaré inequalitylogarithmically concave measure

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Other special methods applied to PDEs (35A25)

Related Items (7)

Optimal Concentration of Information Content for Log-Concave Densities ⋮ Expectation Propagation in the Large Data Limit ⋮ Log-concavity and strong log-concavity: a review ⋮ Some integral inequalities for \(\mathfrak{L}\) operator and their applications on self-shrinkers ⋮ Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Intertwinings, second-order Brascamp–Lieb inequalities and spectral estimates

Cites Work

• A logarithmic Sobolev form of the Li-Yau parabolic inequality
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Entropy jumps in the presence of a spectral gap
• The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
• The geometry of Markov diffusion generators
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