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arXiv · 1410.6721

On the maximal operators of Walsh-Kaczmarz-Fejér means

George Tephnadze
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Abstract

The main aim of this paper is to prove that the maximal operator $σ_{p}^{κ,\ast }f:=\sup_{n\in \mathbf{P}}\left\vert σ_{n}^{κ}f\right\vert /\left( n+1\right) ^{1/p-2}$ is bounded from the Hardy space $% H_{p}$ to the space $L_{p},$ for $0<p<1/2$.

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George Tephnadze. 2014-10-05. On the maximal operators of Walsh-Kaczmarz-Fejér means. https://doi.org/10.1007/s10998-013-4617-1

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