Some new extrapolation estimates for the scale of LP-spaces

被引：6

作者：

Astashkin, SV ^{[1
]}

机构：

[1] Samara State Univ, Samara 443086, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2003年 / 37卷 / 03期

关键词：

Yano's extrapolation theorem; Peetre's H- and J-functionals; Banach couple; rearrangement; invariant space; Orlicz space; Zygmund space; extrapolation functor; real interpolation method;

D O I：

10.1023/A:1026088717948

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using new extrapolation estimates for the K- and J-functionals of couples of limit spaces of the L-p-scale (1 < p < infinity), we introduce a class of extrapolation functors. A characterization of this class via the real interpolation method permits one to obtain new equivalent expressions for the norms in symmetric spaces "close" to L-infinity, and L-1, which depend only on the L-p-norms of a function.

引用

页码：221 / 224

页数：4

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