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arXiv:2002.04403 [math.CA]AbstractReferencesReviewsResources

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

L-E. Persson, G. Tephnadze, G. Tutberidze

Published 2020-02-04Version 1

In this paper we characterize subsequences of Fej\'er means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all $0<p<1/2.$ The result is in a sense sharp.

Comments: arXiv admin note: substantial text overlap with arXiv:1410.7978, arXiv:1504.05779, arXiv:1504.05974
Categories: math.CA
Subjects: 42C10
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