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.
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页码：104 / 117
页数：14
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