On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
type: Item
instance of: scholarly article
title: On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
zbMATH Open document ID: 1399.42082
author: Lars-Erik Persson
author: George Tephnadze
author: Peter Wall
published in: Acta Mathematica Hungarica
publication date: 2018-04-27T00:00:00Z
review text: 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 \( H_1. \)
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 6865401
zbMATH Keywords: martingale Hardy space
zbMATH Keywords: maximal operator
zbMATH Keywords: Vilenkin-Fourier series
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
full work available at URL: s10474-017-0773-8
OpenAlex ID: W2771370319
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DOI: 10.1007/S10474-017-0773-8
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description: scientific article; zbMATH DE number 6865401