Some new restricted maximal operators of Fejér means of Walsh–Fourier series

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https://hdl.handle.net/10037/32380
DOI
https://doi.org/10.1007/s43037-023-00300-2
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Date
2023-09-12
Type
Journal article
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Author
Baramidze, Davit; Baramidze, Lasha; Persson, Lars-Erik; Tephnadze, George
Abstract
In this paper, we derive the maximal subspace of natural numbers { nk : k ≥ 0 }, such that the restricted maximal operator, defined by supk∈ℕ | σnkF | on this subspace of Fejér means of Walsh–Fourier series is bounded from the martingale Hardy space H1/2 to the Lebesgue space L1/2. The sharpness of this result is also proved.
Publisher
Springer Nature
Citation
Baramidze D, Baramidze L, Persson LE, Tephnadze G. Some new restricted maximal operators of Fejér means of Walsh–Fourier series. Banach Journal of Mathematical Analysis. 2023;17
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Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)