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Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series. (English) Zbl 1093.42018

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

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
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