On sharp Sobolev embedding and the logarithmic Sobolev inequality

被引：37

作者：

Beckner, W ^{[1
]}

Pearson, M

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 1998年 / 30卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0024609397003901

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：80 / 84

页数：5

共 12 条

[1]

Aubin Thierry, 1982, GRUNDLEHREN MATH WIS, V252

[2] INEQUALITIES IN FOURIER-ANALYSIS [J].

BECKNER, W .

ANNALS OF MATHEMATICS, 1975, 102 (01) :159-182

[3] PITTS INEQUALITY AND THE UNCERTAINTY PRINCIPLE [J].

BECKNER, W .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (06) :1897-1905

[4] SHARP SOBOLEV INEQUALITIES ON THE SPHERE AND THE MOSER-TRUDINGER INEQUALITY [J].

BECKNER, W .

ANNALS OF MATHEMATICS, 1993, 138 (01) :213-242

[5] SOBOLEV INEQUALITIES, THE POISSON SEMIGROUP, AND ANALYSIS ON THE SPHERE SN [J].

BECKNER, W .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1992, 89 (11) :4816-4819

[6]

BECKNER W, UNPUB HARDY LITTLEWO

[7]

BECKNER W, IN PRESS J FOURIER A

[8]

BROTHERS JE, 1988, J REINE ANGEW MATH, V384, P153

[9] LOGARITHMIC SOBOLEV INEQUALITIES [J].

GROSS, L .

AMERICAN JOURNAL OF MATHEMATICS, 1975, 97 (04) :1061-1083

[10] SHARP CONSTANTS IN THE HARDY-LITTLEWOOD-SOBOLEV AND RELATED INEQUALITIES [J].

LIEB, EH .

ANNALS OF MATHEMATICS, 1983, 118 (02) :349-374

← 1 2 →