Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures

被引：0
|
作者：
Qian, Bin [1 ,2 ]
Zhang, Zhengliang [3 ]
机构：
[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[3] Wuhan Univ, Dept Math & Stat, Wuhan 430072, Hubei, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2011年 / 116卷 / 02期
关键词：
Sub-Gaussian measures; Weighted logarithmic Sobolev inequalities; Bakry-Emery criterion; HYPERCONTRACTIVITY; ISOPERIMETRY;
D O I：
10.1007/s10440-011-9636-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short paper, We establish the weighted Logarithmic Sobolev inequalities for sub-Gaussian measure of high dimension with explicit constants via phase transition and the well-known Bakry-Emery criterion.
引用
收藏
页码：173 / 177
页数：5
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