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arXiv · 2101.06670

Variable Besov-type spaces

Douadi Drihem·Zeghad Zouheyr
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Abstract

In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the $\varphi $-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces are obtained.

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Douadi Drihem, Zeghad Zouheyr. 2021-01-17. Variable Besov-type spaces. https://arxiv.org/abs/2101.06670

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