On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces

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https://hdl.handle.net/10037/23129
DOI
https://doi.org/10.7153/oam-2020-14-22
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Date
2020-03
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Persson, Lars Erik; Tephnadze, George; Tutberidze, Giorgi
Abstract
In this paper we characterize subsequences of Fejér means with respect to Vilenkin systems, which are bounded from the Hardy space Hp to the Lebesgue space Lp, for all 0 < p < 1/2. The result is in a sense sharp.
Is part of
Tutberidze, G. (2021). A study of bounded operators on martingale Hardy spaces. (Doctoral thesis). https://hdl.handle.net/10037/23128.
Publisher
Publishing House Element d.o.o., Zagreb, Croatia
Citation
Persson LE, Tephnadze, Tutberidze G. On the boundedness of subsequences of vilenkin-fejér means on the martingale hardy spaces. Operators and Matrices (OaM). 2020;14(1):283-294
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