Acta Mathematica Sinica, English Series

, Volume 28, Issue 7, pp 1307–1328

Continuous embeddings of Besov-Morrey function spaces

Authors

    • Mathematical InstituteFriedrich-Schiller-University Jena
  • Leszek Skrzypczak
    • Faculty of Mathematics and Computer ScienceAdam Mickiewicz University
Article

DOI: 10.1007/s10114-012-1119-7

Cite this article as:
Haroske, D.D. & Skrzypczak, L. Acta. Math. Sin.-English Ser. (2012) 28: 1307. doi:10.1007/s10114-012-1119-7

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 wα(x) = |x|α, α > −d, as a typical example.

Keywords

Weighted Besov spacesBesov-Morrey spacescontinuous embeddings

MR(2000) Subject Classification

46E35
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Supplementary material

10114_2012_1119_MOESM1_ESM.tex (75 kb)
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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012