Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/27170
Title: | Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces |
Author: | Caetano, António Kempka, Henning |
Keywords: | Variable exponents Triebel-Lizorkin-Morrey spaces Atomic characterization Molecular characterization |
Issue Date: | Feb-2021 |
Publisher: | Springer Verlag |
Abstract: | We continue the study of the variable exponent Morreyfied Triebel-Lizorkin spaces introduced in a previous paper. Here we give characterizations by means of atoms and molecules. We also show that in some cases the number of zero moments needed for molecules, in order that an infinite linear combination of them (with coefficients in a natural sequence space) converges in the space of tempered distributions, is much smaller than what is usually required. We also establish a Sobolev type theorem for related sequence spaces, which might have independent interest. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/27170 |
DOI: | 10.1007/s00365-020-09497-z |
ISSN: | 0176-4276 |
Publisher Version: | https://rdcu.be/b0Bl7 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Morrey_TL_PartII_6-arXiv.pdf | 518.51 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.