MODIFIED BRASCAMP-LIEB INEQUALITIES AND LOG-SOBOLEV INEQUALITIES FOR ONE-DIMENSIONAL LOG-CONCAVE MEASURE

作     者：Denghui WU Jiazu ZHOU 武登辉;周家足

作者机构：College of ScienceNorthwest A&F UniversityYangling712100China School of Mathematics and Big DataGuizhou Education UniversityGuiyang550018China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报(B辑英文版))

年 卷 期：2025年第45卷第1期

页      面：104-117页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported in part by the NSFC(12071378,12461009) the Natural Science Basic Research Program of Shaanxi(2023-JC-YB-036) the Shaanxi Fundamental Science Research Project for Mathematics and Physics(23JSQ033) 

主　　题：Brunn-Minkowski inequality Prékopa-Leindler inequality Brascamp-Lieb inequality log-Sobolev inequality log-concave measure 

摘      要：In this paper,we develop Maurey’s and Bobkov-Ledoux’s methods to prove modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave *** prove these inequalities,the harmonic Prékopa-Leindler inequality is *** prove that these new inequalities are more efficient in estimating the variance and entropy for some functions with exponential terms.