On the maximal operators of Walsh-Kaczmarz-Fejér means

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 $$ to the space $L_{p},$ for $0<p<1/2$.

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