Weak Type Boundedness of the Hardy Littlewood Maximal Operator on Weighted Lorentz Spaces
Abstract
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 pu(w), whenever p>1. This solves a problem left open in 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.
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