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arXiv · 1807.10687

Variable exponent Besov-Morrey spaces

Alexandre Almeida·António Caetano
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Abstract

In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in turn are defined within the framework of semimodular spaces. In particular, we obtain a convolution inequality involving special radial kernels, which proves to be a key tool in this work.

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BibTeXRIS

Alexandre Almeida, António Caetano. 2018-07-27. Variable exponent Besov-Morrey spaces. https://doi.org/10.1007/s00041-019-09711-y

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