On the maximal operators of Walsh-Kaczmarz-Nörlund means

preprint2014arXivOpen access

Abstract

The main aim of this paper is to investigate (Hp,Lp,∞)\left( H_{p},L_{p,\infty }\right) type inequalities for maximal operators of Nörlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e convergence of such Walsh-Kaczmarz-Nörlund means.

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