Weighted iterates and variants of the Hardy-Littlewood maximal operator

Leckband, M. A.; Neugebauer, C. J.

doi:10.1090/S0002-9947-1983-0704601-7

Weighted iterates and variants of the Hardy-Littlewood maximal operator
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by M. A. Leckband and C. J. Neugebauer

Trans. Amer. Math. Soc. 279 (1983), 51-61

DOI: https://doi.org/10.1090/S0002-9947-1983-0704601-7

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Abstract:

In a recent paper, M. A. Leckband and C. J. Neugebauer obtained a rearrangement inequality for a generalized maximal operator with respect to two measures. For an application they studied norm bounds for the iterated Hardy-Littlewood maximal operator with respect to two measures. In this paper this theory is further developed and other applications of the rearrangement inequality are obtained.

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