Rearrangement and the weighted logarithmic Sobolev inequality |
| |
Authors: | JIANG Ming-hong RUAN Jian-miao ZHU Xiang-rong |
| |
Affiliation: | Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,Zhejiang International Studies University,Hangzhou 310014,China |
| |
Abstract: | Here we consider some weighted logarithmic Sobolev inequalities which can be used in the theory of singular Riemannian manifolds. We give the necessary and sufficient conditions such that the 1-dimension weighted logarithmic Sobolev inequality is true and obtain a new estimate on the entropy. |
| |
Keywords: | |
本文献已被 CNKI 万方数据 等数据库收录! |
|