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A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces

Permanent link
https://hdl.handle.net/10037/15183
DOI
https://doi.org/10.1515/gmj-2018-0045
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accepted manuscript (PDF)
Date
2018-09-20
Type
Journal article
Peer reviewed

Author
Blahota, Istvan; Nagy, Karoly; Persson, Lars Erik; Tephnadze, George
Abstract
The restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this operator is bounded from the Hardy space H p to the Lebesgue space L p for all 0
Description
Accepted manuscript file, 12 months embargo. Published version available at: https://doi.org/10.1515/gmj-2018-0045
Publisher
De Gruyter
Citation
Blahota, I., Nagy,K., Persson, L.E., Tephnadze, G. A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces. Georgian Mathematical Journal, 2018, 10 s. https://doi.org/10.1515/gmj-2018-0045.
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