Email this article On the convergence of Fejér means of Walsh-Fourier series in the space Hp
- Authors: Tephnadze G.1,2
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Affiliations:
- Tbilisi State University
- Luleå, University of Technology
- Issue: Vol 51, No 2 (2016)
- Pages: 90-102
- Section: Real and Complex Analysis
- URL: https://journal-vniispk.ru/1068-3623/article/view/227901
- DOI: https://doi.org/10.3103/S1068362316020059
- ID: 227901
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Abstract
The main aim of this paper is to find necessary and sufficient conditions for a modulus of continuity of a martingale F ∈ Hp, for which the Fejér means of Walsh-Fourier series converge in Hp-norm, when 0 < p ≤ 1/2.
About the authors
G. Tephnadze
Tbilisi State University; Luleå, University of Technology
Author for correspondence.
Email: giorgitephnadze@gmail.com
Georgia, Tbilisi; Luleå
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