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BMO-boundedness of the maximal operator for arbitrary measures
Authors:Andrei K. Lerner
Affiliation:(1) Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel
Abstract:We show that in the one-dimensional case the weighted Hardy-Littlewood maximal operator M μ is bounded on BMO(μ) for arbitrary Radon measure μ, and that this is not the case in higher dimensions.
Keywords:
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