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arxiv: 2109.07829 · v1 · pith:O3WNB6STnew · submitted 2021-09-16 · 🧮 math.FA

Embeddings of anisotropic Besov spaces into Sobolev spaces

classification 🧮 math.FA
keywords spacesembeddingsanisotropicbesovsobolevassociatedbehaviourcharacterizations
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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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