Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space $H_{1/2}$

Nika Areshidze, Davit Baramidze, Lars-Erik Persson +1

In this paper we derive the restricted weighted maximal operator, defined by ${\sup }_{k\in \mathbb{N}}\left(\left|{\sigma }_{k}F\right|/A_k^2\right)$ of Fejér means of Walsh-Four…