Embeddings of Besov-Morrey spaces on bounded domains

作者：Haroske Dorothee D^*; Skrzypczak Leszek

来源：Studia Mathematica, 2013, 218(2): 119-144.

DOI：10.4064/sm218-2-2

• Besov-Morrey spaces
• continuous embeddings
• compact embeddings

We study embeddings of spaces of Besov-Morrey type, id(ohm) : N-p1,u1,q1(s1)(Omega)-%26gt; N-p2,u2,q2(s2) (Omega), where Omega R-d is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of id(Omega). This continues our earlier studies relating to the case of R-d. Moreover, we also characterise embeddings into the scale of L-p spaces or into the space of bounded continuous functions.

• 出版日期2013