Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911773546774528 |
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| author | Agora, Elona Antezana, Jorge Carro, María J. |
| author_facet | Agora, Elona Antezana, Jorge Carro, María J. |
| contents | The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, $M$, on weighted Lorentz spaces $Λ^p_u(w)$, whenever $p>1$. This solves a problem left open in \cite{crs:crs}. Moreover, with this result, we complete the program of unifying the study of the boundedness of $M$ on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces Agora, Elona Antezana, Jorge Carro, María J. Classical Analysis and ODEs 26D10, 42A50 The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, $M$, on weighted Lorentz spaces $Λ^p_u(w)$, whenever $p>1$. This solves a problem left open in \cite{crs:crs}. Moreover, with this result, we complete the program of unifying the study of the boundedness of $M$ on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph. |
| title | Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces |
| topic | Classical Analysis and ODEs 26D10, 42A50 |
| url | https://arxiv.org/abs/2402.05464 |