Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 28, No. 2, pp. 177-187 (2012)

Estimates for the integral of maximal functions of Fejér kernel

Nacima Memic

University of Sarajevo

Abstract: In the first part of this paper we prove an estimate for the integral of the maximal function of Fejer kernel related to Walsh-Paley system. In the second part we study local integrability of partial maximal functions obtained from Walsh-Kaczmarz system.

Keywords: Walsh-Kaczmarz system, Fejér kernels

Classification (MSC2000): 42C10

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