Continuous Embeddings of Besov-Morrey Function Spaces  

作　　者：Dorothee D. HAROSKE Leszek SKRZYPCZAK 

机构地区：[1]Mathematical Institute,Friedrich-Schiller-University Jena [2]Faculty of Mathematics and Computer Science,Adam Mickiewicz University

出　　处：《Acta Mathematica Sinica,English Series》2012年第7期1307-1328,共22页数学学报（英文版）

基　　金：supported by Heisenberg grant Ha 2794/1-2

摘　　要：We study embeddings of spaces of Besov-Morrey type, MB p1^s1 q1^r1（R^d）→MB p2^s2 q2^r2（R^d） and obtain necessary and sufficient conditions for this. Moreover, we can also charaeterise the special weighted situation Bp1^s1 （R^d ,w）→MB p2^s2 q2^r2（R^d） for a Muekenhoupt A∞ weight w, with wα（x） = ｜x｜^a, 〉 -d, as a typical example.We study embeddings of spaces of Besov-Morrey type, MB p1^s1 q1^r1（R^d）→MB p2^s2 q2^r2（R^d） and obtain necessary and sufficient conditions for this. Moreover, we can also charaeterise the special weighted situation Bp1^s1 （R^d ,w）→MB p2^s2 q2^r2（R^d） for a Muekenhoupt A∞ weight w, with wα（x） = ｜x｜^a, 〉 -d, as a typical example.

关 键 词：Weighted Besov spaces Besov Morrey spaces continuous embeddings 

分 类 号：O177[理学—数学]