Modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure

被引：0

作者：

Wu, Denghui ^{[1
]}

Zhou, Jiazu ^{[2
]}

机构：

[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Peoples R China

[2] Guizhou Educ Univ, Sch Math & Big Data, Guiyang 550018, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2025年 / 45卷 / 01期

关键词：

Brunn-Minkowski inequality; Pr & eacute; kopa-Leindler inequality; Brascamp-Lieb inequality; log-Sobolev inequality; log-concave measure; BRUNN-MINKOWSKI; LOGARITHMIC SOBOLEV; STABILITY;

D O I：

10.1007/s10473-025-0108-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 measure. To prove these inequalities, the harmonic Pr & eacute;kopa-Leindler inequality is used. We prove that these new inequalities are more efficient in estimating the variance and entropy for some functions with exponential terms.

引用

页码：104 / 117

页数：14

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