Maximal Operators of Vilenkin-Norlund Means

摘要

In this paper we prove and discuss some new type inequalities of maximal operators of Vilenkin-Norlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin-Norlund 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.