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arXiv · 1410.6416

On The maximal operators of Vilenkin-Fejér means

George Tephnadze
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Abstract

The main aim of this paper is to prove that the maximal operator $\overset{% \sim }{σ}^{*}f:=\underset{n\in P}{\sup }\frac{\left| σ_{n}f\right| }{\log ^{2}\left( n+1\right) }$ is bounded from the Hardy space $H_{1/2}$ to the space $L_{1/2}$, where $σ_{n}f$ is Fejér means of bounded Vilenkin-Fourier series.

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George Tephnadze. 2014-10-05. On The maximal operators of Vilenkin-Fejér means. https://arxiv.org/abs/1410.6416

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