BMO-boundedness of the maximal operator for arbitrary measures |
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Authors: | Andrei K. Lerner |
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Affiliation: | (1) Department of Mathematics, Bar-Ilan University, 52900 Ramat Gan, Israel |
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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. |
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Keywords: | |
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