Besov-Morrey spaces and differences (extended version)

Marc Hovemann

Besov-Morrey spaces and differences (extended version)

Functional Analysis 2020-10-22 v1

Authors: Marc Hovemann

Abstract

We study the Besov-Morrey spaces $\mathcal{N}^{s}_{u,p,q}(\mathbb{R}^{d})$ and show that under certain conditions on the parameters these spaces can be characterized in terms of higher-order differences. Furthermore we prove that some of the mentioned conditions are also necessary.

Keywords

function spaces topological spaces

Cite

@article{arxiv.2010.10856,
  title  = {Besov-Morrey spaces and differences (extended version)},
  author = {Marc Hovemann},
  journal= {arXiv preprint arXiv:2010.10856},
  year   = {2020}
}

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