L^P-Poincaré Inequality for General Symmetric Forms

作     者：Yong Hua MAO 

作者机构：School of Mathematical Science LMCS Ministing of Education Beijing Normal University Beijing 100875 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第12期

页      面：2055-2064页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 1304[艺术学-美术学] 13[艺术学] 07[理学] 08[工学] 070104[理学-应用数学] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0701[理学-数学] 

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) 

主　　题：Lp Poincare inequality symmetric form isoperimetric constant compact embedding concentration 

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.