On the maximal operators of Vilenkin-Fejér means (Q2839034)
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scientific article; zbMATH DE number 6184021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal operators of Vilenkin-Fejér means |
scientific article; zbMATH DE number 6184021 |
Statements
4 July 2013
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Vilenkin system
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Fejér means
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martingale Hardy space
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math.CA
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math.FA
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0.9560441
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0.94335485
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0.9394635
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0.93751377
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0.9353181
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0.93264234
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0.92235637
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On the maximal operators of Vilenkin-Fejér means (English)
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In the paper interesting results are obtained. The behaviour of Fejér means of bounded Vilenkin-Fourier series is studied. In particular, it is proved that the maximal operator \(\widetilde{\sigma}^* f:= \sup {|\sigma_n f|\over \log^2 (n+1)}\) is bounded from the Hardy space \(H_{1/2}\) to the space \(L_{1/2}\) where \(\sigma_n f\) are Fejér means of bounded Vilenkin-Fourier series.
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