Beckner Inequality on Finite-and Infinite-Dimensional Manifolds  

作　　者：Pingji DENG Fengyu WANG 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

出　　处：《Chinese Annals of Mathematics,Series B》2006年第5期581-594,共14页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Scienoe Fbundation of China (No.10121101);the Research Fund for the Doctoral Program of Higher Education (No.20040027009).

摘　　要：By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery＇s argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems. In particular, some results in [1, 2] are generalized.

关 键 词：Beckner inequality Continuous spin systems Transportation cost inequality 

分 类 号：O151.25[理学—数学]