Some extensions of the Pr\'ekopa-Leindler inequality using Borell's stochastic approach
Functional Analysis
2016-10-26 v3 Probability
Abstract
We present an abstract form of the Pr\'ekopa-Leindler inequality that includes several known -and a few new- related functional inequalities on Euclidean spaces. The method of proof and also the formulation of the new inequalities are based on Christer Borell's stochastic approach to Brunn-Minkowski type inequalities.
Keywords
Cite
@article{arxiv.1512.05131,
title = {Some extensions of the Pr\'ekopa-Leindler inequality using Borell's stochastic approach},
author = {Dario Cordero-Erausquin and Bernard Maurey},
journal= {arXiv preprint arXiv:1512.05131},
year = {2016}
}
Comments
33 pages; includes referees observations