A note on the maximal operator on Banach function spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866907879745781760 |
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| author | Lerner, Andrei K. |
| author_facet | Lerner, Andrei K. |
| contents | In this note we answer positively to two conjectures proposed by Nieraeth (2023) about the maximal operator on rescaled Banach function spaces. We also obtain a new criterion saying when the maximal operator bounded on a Banach function space $X$ is also bounded on the associate space $X'$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the maximal operator on Banach function spaces Lerner, Andrei K. Classical Analysis and ODEs Functional Analysis In this note we answer positively to two conjectures proposed by Nieraeth (2023) about the maximal operator on rescaled Banach function spaces. We also obtain a new criterion saying when the maximal operator bounded on a Banach function space $X$ is also bounded on the associate space $X'$. |
| title | A note on the maximal operator on Banach function spaces |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2404.15671 |