Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces

Abstract

In this paper, the authors give a sufficient condition, on the parameters s0, p0, p1, u0 and u1, which ensures that the embeddings of radial and subradial subspaces of Besov-type spaces Bp0,∞s0,1p0−1u0(Rn) and Bp0,1s0,1p0−1u0(Rn) into Morrey spaces Mp1u1(Rn) are compact. As corollaries, some sufficient conditions for the compactness of the embeddings from the radial and the subradial subspaces of Sobolev–Morrey spaces into Morrey spaces are also obtained.