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.
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页码：107 / 122
页数：16
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