Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach

DOI10.4064/sm8515-10-2016zbMath1392.39015arXiv1512.05131OpenAlexW2963528014MaRDI QIDQ5268788

Dario Cordero-Erausquin, Bernard Maurey

Publication date: 20 June 2017

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05131

zbMATH Keywords

Brascamp-Lieb inequalitiesgeometric functional inequalitiesBrunn-Minowski inequalityGaussian stochastic calculus

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

The Borell-Ehrhard game ⋮ A stochastic Prékopa–Leindler inequality for log-concave functions ⋮ Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals ⋮ Discrete variants of Brunn-Minkowski type inequalities

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