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On the partial sums of Vilenkin-Fourier series
Authors:George Tephnadze
Affiliation:1. Tbilisi State University, Tbilisi, Georgia
2. Lule? University of Technology, Lule?, Sweden
Abstract:The aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. Also, the obtained results we use to prove approximation and strong convergence theorems on the martingale Hardy spaces H p , when 0 < p ≤ 1.
Keywords:
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