Full length article: Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces

  • Authors:

  • Wen Yuan;Winfried Sickel;Dachun Yang

  • Affiliations:

  • -;-;-

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2013

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Abstract

In this paper, the authors give a sufficient condition, on the parameters s"0, p"0, p"1, u"0 and u"1, which ensures that the embeddings of radial and subradial subspaces of Besov-type spaces B"p"""0","~^s^"^0^,^1^p^"^0^-^1^u^"^0(R^n) and B"p"""0","1^s^"^0^,^1^p^"^0^-^1^u^"^0(R^n) into Morrey spaces M"p"""1^u^"^1(R^n) 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.