Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
arXiv:2402.05464 · doi:10.1007/s00041-015-9456-4
Abstract
The main goal of this paper is to provide a complete characterization of the weak-type boundedness of the Hardy-Littlewood maximal operator, , on weighted Lorentz spaces , whenever . 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 on weighted Lebesgue spaces and classical Lorentz spaces, which was initiated in the aforementioned monograph.
7 pages