Compact embeddings of besov spaces involving only slowly varying smoothness

被引：5

作者：

Caetano, Antonio ^{[1
]}

Gogatishvili, Amiran ^{[2
]}

Opic, Bohumir ^{[3
]}

机构：

[1] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal

[2] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

[3] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Prague 18675 8, Czech Republic

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 04期

关键词：

Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings; LOCAL GROWTH ENVELOPES; GENERALIZED SMOOTHNESS; SHARP EMBEDDINGS; LORENTZ SPACES; SOBOLEV;

D O I：

10.1007/s10587-011-0060-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize compact embeddings of Besov spaces B-p,r(0,b)(R-n) involving the zero classical smoothness and a slowly varying smoothness b into Lorentz-Karamata spaces L-p,L-q,-(b) over bar where Omega is a bounded domain in R-n and (b) over bar is another slowly varying function.

引用

页码：923 / 940

页数：18

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