Open Access
July 2017 On the universal and strong (L1,L)-property related to Fourier–Walsh series
Martin G. Grigoryan
Banach J. Math. Anal. 11(3): 698-712 (July 2017). DOI: 10.1215/17358787-2017-0012


In this article, we construct a function UL1[0,1) with strictly decreasing Fourier–Walsh coefficients {ck(U)}, and having a universal and strong (L1,L)-property with respect to the Walsh system.


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Martin G. Grigoryan. "On the universal and strong (L1,L)-property related to Fourier–Walsh series." Banach J. Math. Anal. 11 (3) 698 - 712, July 2017.


Received: 25 July 2016; Accepted: 12 October 2016; Published: July 2017
First available in Project Euclid: 16 May 2017

zbMATH: 1376.42037
MathSciNet: MR3679902
Digital Object Identifier: 10.1215/17358787-2017-0012

Primary: 42A65
Secondary: 42A20

Keywords: Fourier–Walsh coefficients , universal function

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 3 • July 2017
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