On extrapolation of rearrangement invariant spaces

被引：4

作者：

Astashkin, S. V. ^{[3
]}

Lykov, K. V. ^{[3
]}

Mastylo, M. ^{[1
,2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Polish Acad Sci, Inst Math, Poznan Branch, PL-61614 Poznan, Poland

[3] Samara State Univ, Samara 443011, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 05期

关键词：

Extrapolation spaces; Interpolation spaces; Interpolation functor; Rearrangement invariant spaces; Marcinkiewicz spaces; Orlicz spaces; LORENTZ;

D O I：

10.1016/j.na.2011.11.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study extrapolation spaces generated by the Banach scales of L-p and L-p,(infinity)-spaces defined on [0, 1]. We give new extrapolatory descriptions for the Marcinkiewicz and the Orlicz-Lorentz spaces. Using interpolation of sublinear positive operators, we also prove interpolation embeddings for extrapolation spaces. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2735 / 2749

页数：15

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