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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2302.13723 |
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| _version_ | 1866917595408498688 |
|---|---|
| author | Shaabani, Shahaboddin |
| author_facet | Shaabani, Shahaboddin |
| contents | We prove that the Hardy-Littlewood maximal operator is discontinuous on $\bmorn$ and maps $\vmorn$ to itself. A counterexample to boundedness of the strong and directional maximal operators on $\bmorn$ is given, and properties of slices of $\bmorn$ functions are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13723 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximal operators on BMO and slices Shaabani, Shahaboddin Functional Analysis We prove that the Hardy-Littlewood maximal operator is discontinuous on $\bmorn$ and maps $\vmorn$ to itself. A counterexample to boundedness of the strong and directional maximal operators on $\bmorn$ is given, and properties of slices of $\bmorn$ functions are discussed. |
| title | Maximal operators on BMO and slices |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2302.13723 |