BMO-boundedness of the maximal operator for arbitrary measures

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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.

Original languageEnglish
Pages (from-to)243-252
Number of pages10
JournalIsrael Journal of Mathematics
Volume159
DOIs
StatePublished - Jun 2007

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