Unboundedness properties of smoothness Morrey spaces of regular distributions on domains

被引：0

作者：

HAROSKE Dorothee D ^{[1
]}

MOURA Susana D ^{[2
]}

SCHNEIDER Cornelia ^{[3
]}

SKRZYPCZAK Leszek ^{[4
]}

机构：

[1] Institute of Mathematics, Friedrich Schiller University Jena

[2] CMUC, Department of Mathematics, University of Coimbra

[3] Mathematics Department, Friedrich-Alexander University Erlangen-Nremberg

[4] Faculty of Mathematics and Computer Science, Adam Mickiewicz University

来源：

Science China(Mathematics) | 2017年 / 60卷 / 12期

关键词：

Morrey spaces; Besov spaces; Triebel-Lizorkin spaces; growth envelopes; atomic decompositions; inequalities;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We study unboundedness of smoothness Morrey spaces on bounded domains ? ? R~n in terms of growth envelopes. It turns out that in this situation the growth envelope function is finite—in contrast to the results obtained by Haroske et al.（2016） for corresponding spaces defined on R~n. A similar effect was already observed by Haroske et al.（2017）, where classical Morrey spaces Mu,p（?） were investigated. We deal with all cases where the concept is reasonable and also include the tricky limiting cases. Our results can be reformulated in terms of optimal embeddings into the scale of Lorentz spaces Lp,q（?）.

引用

页码：2349 / 2376

页数：28

共 23 条

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