On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\) (Q1747958)
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scientific article; zbMATH DE number 6865401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\) |
scientific article; zbMATH DE number 6865401 |
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On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\) (English)
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27 April 2018
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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 \( H_1. \)
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martingale Hardy space
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maximal operator
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Vilenkin-Fourier series
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0.88387287
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0.8671859
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0.8590635
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0.8581524
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0.85729736
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