Compact and continuous embeddings of logarithmic Bessel potential spaces

被引:10
作者
Edmunds, DE
Gurka, P
Opic, B
机构
[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England
[2] Czech Univ Agr, Dept Math, Prague 16521 6, Czech Republic
[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague, Czech Republic
关键词
Bessel potential spaces; spaces of Holder-continuous functions; Lorentz-Zygmund spaces; continuous embeddings; compact embeddings;
D O I
10.4064/sm168-3-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Holder type.
引用
收藏
页码:229 / 250
页数:22
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