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arXiv · 1504.05779

On the Nörlund means of Vilenkin-Fourier series

I. Blahota·L. E. Persson·G. Tephnadze
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Abstract

In this paper we prove and discuss some new $\left( H_{p},L_{p}\right)$-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. These results are the best possible in a special sense. As applications, both some well-known and new results are pointed out in the theory of strong convergence of Vilenkin-Nörlund means with non-increasing coefficients.

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I. Blahota, L. E. Persson, G. Tephnadze. 2015-04-21. On the Nörlund means of Vilenkin-Fourier series. https://arxiv.org/abs/1504.05779

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