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 .
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收藏
页码：541 / 573
页数：33
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