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Fourier analysis in several parameters. (English) Zbl 0641.42018

The role played by the Hardy-Littlewood maximal operator in the study of classical singular integrals is well known. In higher dimensions, the Hardy-Littlewood operator no longer suffices to control the singular operators at hand. In this paper, which is in the nature of a survey article, the author considers the more complicated maximal functions which are required to deal with the singular integrals in question.
Reviewer: B.P.Duggal

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
42B30 \(H^p\)-spaces
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