Almost everywhere convergence of a subsequence of the logarithmic means of Vilenkin-Fourier series
نویسندگان
چکیده
منابع مشابه
Almost Everywhere Convergence of a Subsequence of the Logarithmic Means of Vilenkin-Fourier Series
Abstract: The main aim of this paper is to prove that the maximal operator of a subsequence of the (one-dimensional) logarithmic means of Vilenkin-Fourier series is of weak type (1,1). Moreover, we prove that the maximal operator of the logarithmic means of quadratical partial sums of double Vilenkin-Fourier series is of weak type (1,1), provided that the supremum in the maximal operator is tak...
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In this paper we prove that the maximal operator of the subsequence of logarithmic means of Walsh-Fourier series is weak type (1,1). Moreover, the logarithmic means tmn (f) of the function f ∈ L converge a.e. to f as n →∞. In the literature, it is known the notion of the Riesz’s logarithmic means of a Fourier series. The n-th mean of the Fourier series of the integrable function f is defined by...
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ژورنال
عنوان ژورنال: Facta universitatis - series: Electronics and Energetics
سال: 2008
ISSN: 0353-3670,2217-5997
DOI: 10.2298/fuee0803275g