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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A general maximal operator and the $ A\sb{p}$-condition


Authors: M. A. Leckband and C. J. Neugebauer
Journal: Trans. Amer. Math. Soc. 275 (1983), 821-831
MSC: Primary 42B25; Secondary 28A15, 46E30
DOI: https://doi.org/10.1090/S0002-9947-1983-0682735-3
MathSciNet review: 682735
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Abstract: A rearrangement inequality for a general maximal operator $ Mf(x) = {\sup _{x \in Q}}\int {f\phi_{Q}\,d\nu } $ is established. This is then applied to the Hardy-Littlewood maximal operator with weights.


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DOI: https://doi.org/10.1090/S0002-9947-1983-0682735-3
Article copyright: © Copyright 1983 American Mathematical Society