Lp-Poincaré inequality for general symmetric forms

被引：0
|
作者：
Yong Hua Mao
机构：
[1] Beijing Normal University,School of Mathematical Science, LMCS, Ministing of Education
来源：
Acta Mathematica Sinica, English Series | 2009年 / 25卷
关键词：
Poincaré inequality; symmetric form; isoperimetric constant; compact embedding; concentration; 60J75; 46E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Lp Poincaré inequalities for general symmetric forms are established by new Cheeger’s isoperimetric constants. Lp super-Poincaré inequalities are introduced to describe the equivalent conditions for the Lp compact embedding, and the criteria via the new Cheeger’s constants for those inequalities are presented. Finally, the concentration or the volume growth of measures for these inequalities are studied.
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页码：2055 / 2064
页数：9
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