An Inequality for Moments of Log-Concave Functions on Gaussian Random Vectors

被引：0

作者：

Dafnis, Nikos ^{[1
]}

Paouris, Grigoris ^{[2
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS | 2017年 / 2169卷

关键词：

SOBOLEV INEQUALITIES; BRASCAMP-LIEB; STABILITY;

D O I：

10.1007/978-3-319-45282-1_7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove sharp moment inequalities for log-concave and log-convex functions, on Gaussian random vectors. As an application we take a reverse form of the classical logarithmic Sobolev inequality, in the case where the function is log-concave.

引用

页码：107 / 122

页数：16

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