English

Embeddings of anisotropic Besov spaces into Sobolev spaces

Functional Analysis 2021-09-17 v1

Abstract

We study the embeddings of (homogeneous and inhomogeneous) anisotropic Besov spaces associated to an expansive matrix AA into Sobolev spaces, with focus on the influence of AA on the embedding behaviour. For a large range of parameters, we derive sharp characterizations of embeddings.

Keywords

Cite

@article{arxiv.2109.07829,
  title  = {Embeddings of anisotropic Besov spaces into Sobolev spaces},
  author = {David Bartusel and Hartmut Führ},
  journal= {arXiv preprint arXiv:2109.07829},
  year   = {2021}
}