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
收藏
页码：104 / 117
页数：13
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