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arxiv: 1410.7635 · v1 · pith:GBK2BE3Knew · submitted 2014-10-05 · 🧮 math.CA · math.FA

On the partial sums of Vilenkin-Fourier series

classification 🧮 math.CA math.FA
keywords partialseriessumsvilenkin-fourierapproximationconvergencehardyinvestigate
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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 $H_{p},$ when $0<p\leq 1.$

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