In this paper we prove and discuss some new (Hp,weak−Lp) 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.
@article{arxiv.1503.05396,
title = {Maximal operators of Vilenkin-N\"orlund means},
author = {L. E. Persson and G. Tephnadze and P. Wall},
journal= {arXiv preprint arXiv:1503.05396},
year = {2015}
}