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A simple proof of a weighted inequality for the Hardy-Littlewood maximal operator in \(\mathbb R^n\). (English) Zbl 1224.42059

Summary: We give a simple proof of the characterization of the weights for which the Hardy-Littlewood maximal operator maps the weighted \(L_p\) space into the weak \(L_p\) space.

MSC:

42B25 Maximal functions, Littlewood-Paley theory
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