On the maximal operators of Walsh-Kaczmarz-Fej\'er means

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 $$ to the space $L_p,$ for $0<p<1\mathrm{/}2$.