On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
In \textit{L. E. Persson} et al., [J. Fourier Anal. Appl. 21, No. 1, 76--94 (2015; Zbl 1311.42071)] the authors studied Vilenkin-Nörlund means with non-increasing coefficients. Here they consider analogues of their results for logarithmic (with \( q_k=1/k)\) means, bounded Vilenkin systems, and \( p=1. \) Moreover, they discuss boundedness of weighted maximal operators on the Hardy space \( H_1. \)
scientific article; zbMATH DE number 6865401
scientific article