The Muckenhoupt condition
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909787295318016 |
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| author | Nieraeth, Zoe |
| author_facet | Nieraeth, Zoe |
| contents | The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, pose several conjectures, and prove partial results related to the duality of the Hardy-Littlewood maximal operator. Furthermore, we give an overview of the theory applied to weighted variable Lebesgue, Morrey, and Musielak-Orlicz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Muckenhoupt condition Nieraeth, Zoe Functional Analysis Classical Analysis and ODEs Primary: 42B25, Secondary: 46E30 The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, pose several conjectures, and prove partial results related to the duality of the Hardy-Littlewood maximal operator. Furthermore, we give an overview of the theory applied to weighted variable Lebesgue, Morrey, and Musielak-Orlicz spaces. |
| title | The Muckenhoupt condition |
| topic | Functional Analysis Classical Analysis and ODEs Primary: 42B25, Secondary: 46E30 |
| url | https://arxiv.org/abs/2405.20907 |