George Tephnadze
Published 2014-10-05Version 1
The main aim of this paper is to prove that the maximal operator $\sigma_{p}^{\kappa ,\ast }f:=\sup_{n\in \mathbf{P}}\left\vert \sigma_{n}^{\kappa }f\right\vert /\left( n+1\right) ^{1/p-2}$ is bounded from the Hardy space $% H_{p}$ to the space $L_{p},$ for $0<p<1/2$.
Comments: Walsh-Kaczmarz system, Fej\'er means, martingale Hardy space
Journal: Periodica Mathematica Hungarica, 67, (1), 2013, 33-45
Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space
On The maximal operators of Vilenkin-Fejér means
On weak$^*$-convergence in the Hardy space $H^1$ over spaces of homogeneous type
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