Duality of Triebel-Lizorkin spaces of general weights
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929236284014592 |
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| author | Drihem, Douadi |
| author_facet | Drihem, Douadi |
| contents | In this paper, we identify the duals of Triebel-Lizorkin spaces of generalized smoothness. In some particular cases these function spaces are just weighted Triebel-Lizorkin spaces. To do these, we will be working at the level of sequence spaces. The $φ$-transform characterization of these function spaces in the sense of Frazier and Jawerth, and new weighted version of vector-valued maximal inequality of Fefferman and Stein are the main tools. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality of Triebel-Lizorkin spaces of general weights Drihem, Douadi Functional Analysis Primary: 42B25, 42B35, secondary: 46E35 In this paper, we identify the duals of Triebel-Lizorkin spaces of generalized smoothness. In some particular cases these function spaces are just weighted Triebel-Lizorkin spaces. To do these, we will be working at the level of sequence spaces. The $φ$-transform characterization of these function spaces in the sense of Frazier and Jawerth, and new weighted version of vector-valued maximal inequality of Fefferman and Stein are the main tools. |
| title | Duality of Triebel-Lizorkin spaces of general weights |
| topic | Functional Analysis Primary: 42B25, 42B35, secondary: 46E35 |
| url | https://arxiv.org/abs/2402.04635 |