Variable Besov spaces: continuous version

Douadi Drihem

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arXiv · 1601.00309

Variable Besov spaces: continuous version

Douadi Drihem

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Abstract

We introduce Besov spaces with variable smoothness and integrability by using the continuous version of Calderòn reproducing formula. We show that our space is well-defined, i.e., independent of the choice of basis functions. We characterize these function spaces by so-called Peetre maximal functions and we obtain the Sobolev embeddings for these function spaces. We use these results to prove the atomic decomposition for these spaces.

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BibTeX RIS

Douadi Drihem. 2017-11-23. Variable Besov spaces: continuous version. https://arxiv.org/abs/1601.00309

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