Precompactness in matrix weighted Bourgain-Morrey spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912963817897984 |
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| author | Bai, Tengfei Xu, Jingshi |
| author_facet | Bai, Tengfei Xu, Jingshi |
| contents | In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that the dyadic average operator is bounded on some matrix weighted Bourgain-Morrey spaces. With this result, we obtain the necessity for precompact sets in some matrix weighted Bourgain-Morrey spaces. The results are new even for the unweighted Bourgain-Morrey spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11531 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Precompactness in matrix weighted Bourgain-Morrey spaces Bai, Tengfei Xu, Jingshi Functional Analysis Classical Analysis and ODEs 46B50, 46E40, 42B35, 46E30 In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that the dyadic average operator is bounded on some matrix weighted Bourgain-Morrey spaces. With this result, we obtain the necessity for precompact sets in some matrix weighted Bourgain-Morrey spaces. The results are new even for the unweighted Bourgain-Morrey spaces. |
| title | Precompactness in matrix weighted Bourgain-Morrey spaces |
| topic | Functional Analysis Classical Analysis and ODEs 46B50, 46E40, 42B35, 46E30 |
| url | https://arxiv.org/abs/2406.11531 |