The strong maximal function on a nilpotent group

Christ, Michael

doi:10.1090/S0002-9947-1992-1104197-X

The strong maximal function on a nilpotent group
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by Michael Christ

Trans. Amer. Math. Soc. 331 (1992), 1-13

DOI: https://doi.org/10.1090/S0002-9947-1992-1104197-X

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Abstract:

An analogue of the strong maximal function of Jessen, Marcinkiewicz, and Zygmund is shown to be bounded on ${L^p}$, for all $p > 1$, on a nilpotent Lie group.

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