Short Probabilistic Proof of the Brascamp-Lieb and Barthe Theorems

DOI10.4153/CMB-2013-040-xzbMath1307.39012arXiv1302.2066MaRDI QIDQ2925377

Joseph Lehec

Publication date: 21 October 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2066

zbMATH Keywords

Brownian motionfunctional inequalitiesGaussian measureCameron-Martin spacesymmetric positive definite matrixnonnegative measurable functionYoung's convolution inequality

Mathematics Subject Classification ID

Brownian motion (60J65) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (6)

Positive Gaussian Kernels also Have Gaussian Minimizers ⋮ The Borell-Ehrhard game ⋮ Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups ⋮ Positivité améliorée et noyaux gaussiens ⋮ Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals ⋮ Improved Hölder and reverse Hölder inequalities for Gaussian random vectors

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