On some improved weighted weak type inequalities
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913219028713472 |
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| author | Lerner, Andrei K. Li, Kangwei Ombrosi, Sheldy Rivera-Ríos, Israel P. |
| author_facet | Lerner, Andrei K. Li, Kangwei Ombrosi, Sheldy Rivera-Ríos, Israel P. |
| contents | In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator $M_{W,p}$ in the case $1<p<2$, improving a recent result by Cruz-Uribe and Sweeting. Also, in the scalar setting, we improve a weak type bound obtained in the aforementioned work for Calderón--Zygmund operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some improved weighted weak type inequalities Lerner, Andrei K. Li, Kangwei Ombrosi, Sheldy Rivera-Ríos, Israel P. Classical Analysis and ODEs 42B20 In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator $M_{W,p}$ in the case $1<p<2$, improving a recent result by Cruz-Uribe and Sweeting. Also, in the scalar setting, we improve a weak type bound obtained in the aforementioned work for Calderón--Zygmund operators. |
| title | On some improved weighted weak type inequalities |
| topic | Classical Analysis and ODEs 42B20 |
| url | https://arxiv.org/abs/2402.00506 |