Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 21, No. 2, pp. 169-175 (2005)

Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series

U. Goginava

Tbilisi State University

Abstract: In this paper we prove that the maximal operator of the subsequence of logarithmic means of Walsh-Fourier series is weak type (1,1).

Keywords: Logarithmic means, Walsh functions, a.e. convergence.

Classification (MSC2000): 42C10

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