Baramidze, Lasha; Persson, Lars Erik; Tephnadze, G; Wall, P (Peer reviewed; Journal article; Tidsskriftsartikkel, 2016-10-01)
We prove and discuss some new Hp-Lp type inequalities of weighted maximal
operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved
that these inequalities are the best possible in a special sense. We also apply these
results to prove strong summability for such Vilenkin-Nörlund means. As applications,
both some well-known and new results are pointed out.