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

被引：0
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作者：
武登辉 [1 ]
周家足 [2 ]
机构：
[1] College of Science,Northwest A&F University
[2] School of Mathematics and Big Data,Guizhou Education
来源：
Acta Mathematica Scientia | 2025年 / 45卷 / 01期
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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 Prekopa-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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