ABSOLUTELY CONTINUOUS EMBEDDINGS BETWEEN SPACES OF FUNCTIONS

被引：0

作者：

Fernandez-Martinez, Pedro ^{[1
]}

Manzano, Antonio ^{[2
]}

机构：

[1] Univ Murcia, Dept Matemat Aplicada, Fac Informat, Campus Espinardo, Espinardo 30071, Murcia, Spain

[2] Univ Burgos, Dept Matemat & Comp, Escuela Politecn Super, Burgos 09001, Spain

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2013年 / 49卷 / 02期

关键词：

absolutely continuous embedding; interpolation; quasiconcave function; Banach lattice; proximity between function spaces;

D O I：

10.7169/facm/2013.49.2.9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Absolute continuity of an embedding between Banach function spaces is an interesting property which is closely related to compactness. In this paper we study absolutely continuous embeddings between arbitrary Banach spaces intermediate with respect to the couple (L-1 (Omega), L-infinity(Omega)). Our results allow to check if an embedding of such spaces is absolutely continuous. Applications related with the degree of proximity between two function spaces are established for the case Omega = [0, 1] and Omega = [0,infinity).

引用

页码：303 / 320

页数：18

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