A logarithmic Sobolev inequality on the real line

被引：7

作者：

Pearson, JM ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-97-03979-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new logarithmic Sobolev inequality for the real line is obtained. The inequality is obtained by applying a differentiation argument to a sharp Sobolev inequality due to Nagy, and is L-p rather that L-2 in structure.

引用

页码：3339 / 3345

页数：7

共 13 条

[1] BAKRY D, 1984, CR ACAD SCI I-MATH, V299, P775
[2] INEQUALITIES IN FOURIER-ANALYSIS
BECKNER, W
[J]. ANNALS OF MATHEMATICS, 1975, 102 (01) : 159 - 182
[3] PITTS INEQUALITY AND THE UNCERTAINTY PRINCIPLE
BECKNER, W
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (06) : 1897 - 1905
[4] SOBOLEV INEQUALITIES, THE POISSON SEMIGROUP, AND ANALYSIS ON THE SPHERE SN
BECKNER, W
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1992, 89 (11) : 4816 - 4819
[5] Erdelyi A, 1953, HIGHER TRANSCENDENTA
[6] LOGARITHMIC SOBOLEV INEQUALITIES
GROSS, L
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1975, 97 (04) : 1061 - 1083
[7] ON HYPERCONTRACTIVITY FOR MULTIPLIERS ON ORTHOGONAL POLYNOMIALS
JANSON, S
[J]. ARKIV FOR MATEMATIK, 1983, 21 (01): : 97 - 110
[8] HYPERCONTRACTIVITY FOR THE HEAT SEMIGROUP FOR ULTRASPHERICAL POLYNOMIALS AND ON THE N-SPHERE
MUELLER, CE
WEISSLER, FB
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 48 (02) : 252 - 283
[9] Nagy B. V. Sz., 1941, ACTA SCI MATH SZEGED, V10, P64
[10] Nelson E., 1973, J FUNCT ANAL, V12, P211, DOI 10.1016/0022-1236(73)90025-6

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