On an extreme class of real interpolation spaces

被引：52

作者：

Cobos, Fernando ^{[1
]}

Fernandez-Cabrera, Luz M. ^{[2
]}

Kuehn, Thomas ^{[3
]}

Ullrich, Tino ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Fscuela Estadist, Secc Departamental Matemat Aplicada, E-28040 Madrid, Spain

[3] Univ Leipzig, Fac Math & Informat, Math Inst, D-01103 Leipzig, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 07期

关键词：

Extreme interpolation spaces; Real interpolation; J-functional; K-functional; Interpolation methods associated to polygons; Compact operators; Lorentz-Zygmund function spaces; Spaces of operators; EXTRAPOLATION; REITERATION; DUALITY;

D O I：

10.1016/j.jfa.2008.12.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the limit class of interpolation spaces that comes up by the choice theta = 0 in the definition of the real method. These spaces arise naturally interpolating by the J-method associated to the unit square. Their duals coincide with the other extreme spaces obtained by the choice theta = 1. We also study the behavior of compact operators under these two extreme interpolation methods. Moreover, we establish some interpolation formulae for function spaces and for spaces of operators. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：2321 / 2366

页数：46

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