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On boundedness properties of certain maximal operators. (English) Zbl 0822.42012

It is known that the weak type (1,1) boundedness of certain maximal operators, including the maximal operator of Hardy-Littlewood, can be obtained by considering the action of such operators on Dirac delta functions [cf. M. de Guzmán, Real variable methods in Fourier analysis (1981; Zbl 0449.42001)]. In this paper the author develops this technique further in order to study other maximal operators on more general measure spaces.

MSC:

42B25 Maximal functions, Littlewood-Paley theory

Citations:

Zbl 0449.42001
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