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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A note on the strong maximal function


Author: Richard J. Bagby
Journal: Proc. Amer. Math. Soc. 88 (1983), 648-650
MSC: Primary 42B25
MathSciNet review: 702293
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Abstract: Given a nonnegative measurable function $ f$ on $ {R^2}$ which is integrable over sets of finite measure, we construct a new function $ g$ with the same distribution function as $ f$ such that the strong maximal function of $ g$ has the same local integrability properties as its Hardy-Littlewood maximal function.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0702293-X
PII: S 0002-9939(1983)0702293-X
Article copyright: © Copyright 1983 American Mathematical Society