Weak log-Sobolev and Lp weak Poincare inequalities for general symmetric forms

被引：2
|
作者：
Deng, Changsong [1 ,2 ]
Song, Yanhong [1 ]
机构：
[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2012年 / 7卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Weak log-Sobolev inequality; L-p weak Poincare inequality; symmetric form; isoperimetric constant;
D O I：
10.1007/s11464-012-0199-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Weak log-Sobolev and L-p weak Poincare inequalities for general symmetric forms are investigated by using newly defined Cheeger's isoperimetric constants. Some concrete examples of ergodic birth-death processes are also presented to illustrate the results.
引用
收藏
页码：1059 / 1071
页数：13
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