L^P-Poincaré Inequality for General Symmetric Forms  

作　　者：Yong Hua MAO 

机构地区：[1]School of Mathematical Science, LMCS, Ministing of Education, Beijing Normal University, Beijing 100875, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第12期2055-2064,共10页数学学报（英文版）

基　　金：Supported in part by Program for New Century Excellent Talents in University (NCET);973 Project (Grant No.2006CB805901);National Natural Science Foundation of China (Grant No.10721091)

摘　　要：Lp Poincare inequalities for general symmetric forms are established by new Cheeger＇s isoperimetric constants. Lp super-Poincare 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.Lp Poincare inequalities for general symmetric forms are established by new Cheeger＇s isoperimetric constants. Lp super-Poincare 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.

关 键 词：Lp Poincare inequality symmetric form isoperimetric constant compact embedding CONCENTRATION 

分 类 号：O174.55[理学—数学] TU-8[理学—基础数学]