Embeddings of anisotropic Besov spaces into Sobolev spaces

2021/09/16 by Bartusel, David, Führ, Hartmut
#42B35 #42C15 #42C40 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2109.07829

Abstract

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

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