Sharpness and non-compactness of embeddings of Bessel-potential-type spaces

被引：5
|
作者：
Gogatishvili, Amiran
Neves, Julio Severino
Opic, Bohumir
机构：
[1] Univ Coimbra, CMUC, Dept Math, P-3001454 Coimbra, Portugal
[2] Acad Sci Czech Republic, Inst Math, CR-10400 Prague 1, Czech Republic
来源：
MATHEMATISCHE NACHRICHTEN | 2007年 / 280卷 / 9-10期
关键词：
slowly varying functions; Lorentz-Karamata spaces; rearrangement-invariant Banach function spaces; (fractional) Sobolev-type spaces; Holder-type spaces; Bessel potentials; embedding theorems;
D O I：
10.1002/mana.200510537
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish embeddings for Bessel potential spaces modeled upon Lorentz-Karamata spaces with order of smoothness less than one. The target spaces are of Holder-continuous type. In the super-limiting case we also prove that the embedding is sharp and fails to be compact. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：1083 / 1093
页数：11
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