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 ? ? Rnin 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 Rn. 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

[1] Some Specific Unboundedness Property in Smoothness Morrey Spaces. The Non-existence of Growth Envelopes in the Subcritical Case[J]. Dorothee D.HAROSKE,Susana D.MOURA.Acta Mathematica Sinica. 2016(02)
[2] Interpolation of Morrey-Campanato and related smoothness spaces[J]. YUAN Wen,SICKEL Winfried,YANG DaChun.Science China（Mathematics）. 2015(09)
[3] Continuous Embeddings of Besov-Morrey Function Spaces[J]. Dorothee D. HAROSKE,Leszek SKRZYPCZAK.Acta Mathematica Sinica. 2012(07)
[4] A Note on Besov-Morrey Spaces and Triebel-Lizorkin-Morrey Spaces[J]. Yoshihiro SAWANO.Acta Mathematica Sinica（English Series）. 2009(08)
[5] Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications[J] . Wen Yuan,Dorothee D. Haroske,Susana D. Moura,Leszek Skrzypczak,Dachun Yang.Journal of Approximation Theory . 2015
[6] Embedding properties of Besov-type spaces
Yuan, Wen
Haroske, Dorothee D.
Skrzypczak, Leszek
Yang, Dachun
[J]. APPLICABLE ANALYSIS, 2015, 94 (02) : 318 - 340
[7] Spaces of generalized smoothness in the critical case: Optimal embeddings, continuity envelopes and approximation numbers[J] . Susana D. Moura,Júlio S. Neves,Cornelia Schneider.Journal of Approximation Theory . 2014
[8] On Sobolev and Franke–Jawerth embeddings of smoothness Morrey spaces[J] . Dorothee D. Haroske,Leszek Skrzypczak.Revista Matemática Complutense . 2014 (2)
[9] Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces[J] . Dachun Yang,Wen Yuan.Applicable Analysis . 2013 (3)
[10] Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces[J] . Marcel Rosenthal.Math. Nachr. . 2012 (1)

← 1 2 3 →