On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces

被引：25

作者：

Haroske, Dorothee D. ^{[1
]}

Skrzypczak, Leszek ^{[2
]}

机构：

[1] Univ Jena, Inst Math, D-07737 Jena, Germany

[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

REVISTA MATEMATICA COMPLUTENSE | 2014年 / 27卷 / 02期

关键词：

Triebel-Lizorkin-Morrey spaces; Besov-Morrey spaces; Continuous and compact embeddings; Sobolev embeddings; Franke-Jawerth embeddings; BESOV-MORREY; INEQUALITY;

D O I：

10.1007/s13163-013-0143-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study embeddings of Triebel-Lizorkin-Morrey spaces within that scale as well as to classical spaces like or . Here we obtain necessary and sufficient conditions for the continuity of it. Similarly we can deal with the situation when is replaced by a bounded smooth domain , now focussing, in addition, on compactness criteria. The second goal are embeddings of so-called Franke-Jawerth type, that is, , where the differential dimension is fixed, , and .

引用

页码：541 / 573

页数：33

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