%0 Journal Article %T On the N£¿rlund means of Vilenkin-Fourier series %A I. Blahota %A L. E. Persson %A G. Tephnadze %J Mathematics %D 2015 %I arXiv %X In this paper we prove and discuss some new $\left( H_{p},L_{p}\right)$-type inequalities of weighted maximal operators of Vilenkin-N\"orlund 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-N\"orlund means with non-increasing coefficients. %U http://arxiv.org/abs/1504.05779v1