Sharp Hp-Lp type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
ForfatterBaramidze, Lasha; Persson, Lars Erik; Tephnadze, G; Wall, P
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.
Published version. Source available at href=http://dx.doi.org/10.1186/s13660-016-1182-1