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

被引：0

作者：

Denghui Wu ^{[1
]}

Jiazu Zhou ^{[2
]}

机构：

[1] Northwest A&F University,College of Science

[2] Guizhou Education University,School of Mathematics and Big Data

来源：

Acta Mathematica Scientia | 2025年 / 45卷 / 1期

关键词：

Brunn-Minkowski inequality; Prékopa-Leindler inequality; Brascamp-Lieb inequality; log-Sobolev inequality; log-concave measure; 52A20;

D O I：

10.1007/s10473-025-0108-8

中图分类号：

学科分类号：

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 Prékopa-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：13

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