Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces
| Autor: | Caetano, António, Kempka, Henning |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00365-020-09497-z |
| Popis: | 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. Comment: 29 pages; this article is a result of splitting arXiv:1808.05304 in two parts; the first part is now arXiv:1808.05304v2, with 17 pages, while the second part has given rise to the present article |
| Databáze: | arXiv |
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