Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26906
Title: | Variable exponent Besov-Morrey spaces |
Author: | Almeida, Alexandre Caetano, António |
Keywords: | Variable exponents Non-standard growth Mixed Morrey-sequence spaces Besov-Morrey spaces Convolution inequalities Maximal characterization Atomic representation Molecular representation |
Issue Date: | 9-Jan-2020 |
Publisher: | Springer Verlag |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26906 |
DOI: | 10.1007/s00041-019-09711-y |
ISSN: | 1069-5869 |
Publisher Version: | https://rdcu.be/b0dWc |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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20191027_1807.10687.pdf | 467.92 kB | Adobe PDF | View/Open |
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