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arXiv · 1504.05974

Some new $\left(H_{p},L_{p}\right)$ type inequalities of maximal operators of Vilenkin-N\"orlund means with non-decreasing coefficients

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

In this paper we prove and discuss some new $\left(H_{p},L_{p}\right)$ type inequalities of maximal operators of Vilenkin-N\"orlund means with non-decreasing coefficients. We also apply these inequalities to prove strong convergence theorems of such Vilenkin-N\"orlund means. These inequalities 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. 2015-04-21. Some new $\left(H_{p},L_{p}\right)$ type inequalities of maximal operators of Vilenkin-N\"orlund means with non-decreasing coefficients. https://arxiv.org/abs/1504.05974

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