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arXiv · 1503.05396

Maximal operators of Vilenkin-N\"orlund means

L. E. Persson·G. Tephnadze·P. Wall
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Abstract

In this paper we prove and discuss some new $\left(H_{p},weak-L_{p}\right) $ type inequalities of maximal operators of Vilenkin-N\"orlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin-N\"orlund means. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.

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L. E. Persson, G. Tephnadze, P. Wall. 2015-01-26. Maximal operators of Vilenkin-N\"orlund means. https://arxiv.org/abs/1503.05396

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