Matrix-weighted bounds in variable Lebesgue spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911154421366784 |
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| author | Nieraeth, Zoe Penrod, Michael |
| author_facet | Nieraeth, Zoe Penrod, Michael |
| contents | In this paper we prove boundedness of Calderón-Zygmund operators and the Christ-Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cruz-Uribe and the second author. Our main tool to prove these bounds is through bounding a Goldberg auxiliary maximal operator.
As an application, we obtain a quantitative extrapolation theorem for matrix-weighted variable Lebesgue spaces from the recent framework of directional Banach function spaces of the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix-weighted bounds in variable Lebesgue spaces Nieraeth, Zoe Penrod, Michael Functional Analysis Classical Analysis and ODEs 42B20, 42B25, 42B35 In this paper we prove boundedness of Calderón-Zygmund operators and the Christ-Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cruz-Uribe and the second author. Our main tool to prove these bounds is through bounding a Goldberg auxiliary maximal operator. As an application, we obtain a quantitative extrapolation theorem for matrix-weighted variable Lebesgue spaces from the recent framework of directional Banach function spaces of the first author. |
| title | Matrix-weighted bounds in variable Lebesgue spaces |
| topic | Functional Analysis Classical Analysis and ODEs 42B20, 42B25, 42B35 |
| url | https://arxiv.org/abs/2503.14398 |