3 papers
math.FA2023
On some weighted maximal operators of partial sums of Walsh-Fourier series in the space
Davit Baramidze
In the first part of this paper we describe the status of the art of this subject. In the second part we present and motivate some new results. Indeed, we introduce some new weight…
math.CA2023
Some new restricted maximal operators of Fejér means of Walsh-Fourier series in the space
Davit Baramidze, Lars-Erik Persson, George Tephnadze
In this paper we derive the maximal subspace of natural numbers , such that the restricted maximal operator, defined by $\sup_{k\in \mathbb{N}}\left\v…
math.CA2023
Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space
Nika Areshidze, Davit Baramidze, Lars-Erik Persson +1
In this paper we derive the restricted weighted maximal operator, defined by of Fejér means of Walsh-Four…