The Maximal Operators of Logarithmic Means of One-dimensional Vilenkin-fourier Series
نویسنده
چکیده
The main aim of this paper is to investigate (Hp, Lp)-type inequalities for maximal operators of logarithmic means of one-dimensional bounded Vilenkin-Fourier series.
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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تاریخ انتشار 2012