Absolutely Continuous Embeddings of Rearrangement-Invariant Spaces

被引：9

作者：

Fernandez-Martinez, Pedro ^{[1
]}

Manzano, Antonio ^{[2
]}

Pustylnik, Evgeniy ^{[3
]}

机构：

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

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

[3] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2010年 / 7卷 / 04期

关键词：

Function spaces; compactness; COMPACTNESS;

D O I：

10.1007/s00009-010-0039-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Compactness of embeddings between rearrangement invariant spaces is closely related to absolute continuity of these embeddings. We study absolutely continuous embeddings between rearrangement invariant spaces. In particular it is shown that an absolutely continuous embedding is never optimal. We give sufficient (and under additional hypotheses necessary) conditions for absolute continuity of these embeddings. We also provide quantitative estimates of absolutely continuous embeddings.

引用

页码：539 / 552

页数：14

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