Variable Besov-type Spaces
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Date
2022
Authors
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Publisher
Université de M'sila
Abstract
In this paper we introduce Besov-type spaces with variable smoothness and integrability.
We show that these spaces are characterized by the ϕ-transforms in appropriate sequence spaces and
we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function
spaces are obtained
Description
Keywords
Atom, embeddings, Besov space, maximal function, variable exponent