Menárguez, M. Trinidad On boundedness properties of certain maximal operators. (English) Zbl 0822.42012 Colloq. Math. 68, No. 1, 141-148 (1995). 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. Reviewer: M.Milman (Boca Raton) MSC: 42B25 Maximal functions, Littlewood-Paley theory Keywords:weak type (1,1) boundedness; maximal operators; maximal operator of Hardy-Littlewood; Dirac delta functions Citations:Zbl 0449.42001 PDFBibTeX XMLCite \textit{M. T. Menárguez}, Colloq. Math. 68, No. 1, 141--148 (1995; Zbl 0822.42012) Full Text: DOI EuDML