Rearrangement and Prekopa-Leindler type inequalities

Autor:	Melbourne, James
Rok vydání:	2018
Předmět:	Mathematics - Probability Computer Science - Information Theory Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We investigate the interactions of functional rearrangements with Prekopa-Leindler type inequalities. It is shown that that a general class of integral inequalities tighten on rearrangement to "isoperimetric" sets with respect to a relevant measure. Applications to the Borell-Brascamp-Lieb, Borell-Ehrhart, and the recent polar Prekopa-Leindler inequalities are demonstrated. It is also proven that an integrated form of the Gaussian log-Sobolev inequality decreases on half-space rearrangement. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.08837 Zobrazit plný text záznamu View this record from Arxiv