%0 Journal Article
%T 圈上Moebius测度的Sobolev不等式<br>SOBOLEV INEQUALITIES FOR MOEBIUS MEASURES ON THE UNIT CIRCLE
%A 作者
%A 雷良贞
%A 马宇韬
%A 薛丹丹
%J 数学杂志
%D 2018
%X 本文考虑单位圈上的Moebius测度的问题.利用文献[1]和[2]中的方法，把圈上的Moebius测度的估计转化为对一维扩散过程的相关估计上，得到了单位圈上的Moebius测度的Poincaré不等式，对数Sobolev不等式和Sobolev不等式的最佳常数的双边估计.<br>In this paper, we consider Moebius probability on the unit circle. By using the method in[1] and[2], we transfer the estimates on Moebius probability onto one-dimensional diffusion, and obtain two-sided estimates on optimal Poincaré constant, logarithmic Sobolev constant and Sobolev constant for Moebius measures on the unit circle
%K Moebius测度 Sobolev不等式 Poincaré不等式 对数Sobolev不等式&lt
%K br&gt
%K Moebius measures Sobolev inequalities Poincaré inequalities logarithmic Sobolev inequalities
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180506&flag=1