On the mixed Bourgain-Morrey spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909898125606912 |
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| author | Bai, Tengfei Guo, Pengfei Xu, Jingshi |
| author_facet | Bai, Tengfei Guo, Pengfei Xu, Jingshi |
| contents | We introduce the mixed Bourgain-Morrey spaces and obtain their preduals. The boundedness of Hardy-Littlewood maximal operator, iterated maximal operator, fractional integral operator, singular integral operator on these spaces is proved. The Littlewood-Paley theory for mixed Bourgain-Morrey spaces and their preduals are established. As applications, we consider wavelet characterizations for mixed Bourgain-Morrey spaces and a fractional chain rule in mixed Bourgain-Morrey Triebel-Lizorkin spaces. In addition, we give a description of the dual of mixed Bourgain-Morrey spaces and conclude the reflexivity of these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the mixed Bourgain-Morrey spaces Bai, Tengfei Guo, Pengfei Xu, Jingshi Functional Analysis Classical Analysis and ODEs 42B20, 42B25, 42B35, 46E30, 46A20 We introduce the mixed Bourgain-Morrey spaces and obtain their preduals. The boundedness of Hardy-Littlewood maximal operator, iterated maximal operator, fractional integral operator, singular integral operator on these spaces is proved. The Littlewood-Paley theory for mixed Bourgain-Morrey spaces and their preduals are established. As applications, we consider wavelet characterizations for mixed Bourgain-Morrey spaces and a fractional chain rule in mixed Bourgain-Morrey Triebel-Lizorkin spaces. In addition, we give a description of the dual of mixed Bourgain-Morrey spaces and conclude the reflexivity of these spaces. |
| title | On the mixed Bourgain-Morrey spaces |
| topic | Functional Analysis Classical Analysis and ODEs 42B20, 42B25, 42B35, 46E30, 46A20 |
| url | https://arxiv.org/abs/2511.08118 |