Extrapolation theory: new results and applications

被引：37

作者：

Karadzhov, GE

Milman, M ^{[1
]}

机构：

[1] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

[2] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

JOURNAL OF APPROXIMATION THEORY | 2005年 / 133卷 / 01期

关键词：

extrapolation; interpolation; Lorentz-Zygmund spaces; Logarithmic Sobolev spaces; Logarithmic Sobolev inequalities; maps of finite distortion;

D O I：

10.1016/j.jat.2004.12.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending earlier work by Jawerth and Milman, we develop in detail Sigma((p)) and Delta((p)) methods of extrapolation. As an application we prove general forms of Yano's extrapolation theorem. Applications to logarithmic Sobolev inequalities, integrability of maps of finite distortion and logarithmic Sobolev spaces are given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：38 / 99

页数：62

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