Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
| Autor: | Agora, Elona, Antezana, Jorge, Carro, María J. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Fourier Anal. Appl. (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00041-015-9456-4 |
| Popis: | 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 $\Lambda^p_u(w)$, 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. Comment: 7 pages |
| Databáze: | arXiv |
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