Open Access
2015 Strong convergence theorem of Cesàro means with respect to the Walsh system
István Blahota, Giorgi Tephnadze, Rodolfo Toledo
Tohoku Math. J. (2) 67(4): 573-584 (2015). DOI: 10.2748/tmj/1450798074

Abstract

We prove that Cesàro means of one-dimensional Walsh-Fourier series are uniformly bounded operators in the martingale Hardy space $H_p$ for $0<p<1/(1+\alpha).$

Citation

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István Blahota. Giorgi Tephnadze. Rodolfo Toledo. "Strong convergence theorem of Cesàro means with respect to the Walsh system." Tohoku Math. J. (2) 67 (4) 573 - 584, 2015. https://doi.org/10.2748/tmj/1450798074

Information

Published: 2015
First available in Project Euclid: 22 December 2015

zbMATH: 1338.42035
MathSciNet: MR3436543
Digital Object Identifier: 10.2748/tmj/1450798074

Subjects:
Primary: 42C10

Keywords: Cesàro mean , martingale Hardy space , Walsh system

Rights: Copyright © 2015 Tohoku University

Vol.67 • No. 4 • 2015
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