Article

Acta Mathematica Sinica, English Series

, Volume 28, Issue 7, pp 1307-1328

First online:

Continuous embeddings of Besov-Morrey function spaces

  • Dorothee D. HaroskeAffiliated withMathematical Institute, Friedrich-Schiller-University Jena Email author 
  • , Leszek SkrzypczakAffiliated withFaculty of Mathematics and Computer Science, Adam Mickiewicz University

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Abstract

We study embeddings of spaces of Besov-Morrey type, https://static-content.springer.com/image/art%3A10.1007%2Fs10114-012-1119-7/MediaObjects/10114_2012_1119_Fig1_HTML.gif , and obtain necessary and sufficient conditions for this. Moreover, we can also characterise the special weighted situation https://static-content.springer.com/image/art%3A10.1007%2Fs10114-012-1119-7/MediaObjects/10114_2012_1119_Fig2_HTML.gif for a Muckenhoupt \(\mathcal{A}_\infty\) weight w, with w α (x) = |x| α , α > −d, as a typical example.

Keywords

Weighted Besov spaces Besov-Morrey spaces continuous embeddings

MR(2000) Subject Classification

46E35