On the partial sums of Vilenkin-Fourier series

preprint2014arXivOpen access

Abstract

The main aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. We also use our results to prove approximation and strong convergence theorems on the martingale Hardy spaces Hp,H_{p}, when 0<p≤1.0<p\leq 1.

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