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arxiv: 1410.7976 · v2 · pith:DNKCQTGQnew · submitted 2014-10-05 · 🧮 math.CA · math.FA

On the maximal operators of Walsh-Kaczmarz-N\"orlund means

classification 🧮 math.CA math.FA
keywords meansorlundmaximaloperatorswalsh-kaczmarz-napplyingcoefficientsconclude
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The main aim of this paper is to investigate $\left( H_{p},L_{p,\infty }\right) $ type inequalities for maximal operators of N\"orlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e convergence of such Walsh-Kaczmarz-N\"orlund means.

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