SOBOLEV INEQUALITIES, THE POISSON SEMIGROUP, AND ANALYSIS ON THE SPHERE SN

被引：91

作者：

BECKNER, W

机构：

[1] Department of Mathematics, University of Texas, Austin

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1992年 / 89卷 / 11期

关键词：

D O I：

10.1073/pnas.89.11.4816

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Hypercontractive estimates are obtained for the Poisson semigroup on L(p)(S(n)). Such estimates are determined by a sharp logarithmic Sobolev inequality that relates the entropy of a function on S(n) to its smoothness.

引用

页码：4816 / 4819

页数：4

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