Mixed Bourgain-Morrey spaces and their applications to boundedness of operators
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917347323805696 |
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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. 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_2603_15353 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mixed Bourgain-Morrey spaces and their applications to boundedness of operators Bai, Tengfei Guo, Pengfei Xu, Jingshi Functional Analysis Classical Analysis and ODEs 46E30, 42B20, 42B25, 42B35 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. In addition, we give a description of the dual of mixed Bourgain-Morrey spaces and conclude the reflexivity of these spaces. |
| title | Mixed Bourgain-Morrey spaces and their applications to boundedness of operators |
| topic | Functional Analysis Classical Analysis and ODEs 46E30, 42B20, 42B25, 42B35 |
| url | https://arxiv.org/abs/2603.15353 |