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math.CA2023
On the divergence of Féjer means with respect to Vilenkin systems on the set of measure zero
N. Areshidze, L. -E. Persson, G. Tephnadze
The famous Carleson-Hunt theorem has been in focus of interest for a long time. This theorem concerns convergence almost everywhere of Fourier series of functions for $1…
math.CA2023
Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces
N. Anakidze, N. Areshidze, L. Baramidze
In this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their estimate of the Nörlund means with respect to the Vilenkin sys…
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…