Open Access
January 2018 On the universal function for weighted spaces Lμp[0,1], p1
Martin Grigoryan, Tigran Grigoryan, Artsrun Sargsyan
Banach J. Math. Anal. 12(1): 104-125 (January 2018). DOI: 10.1215/17358787-2017-0044


In this article, we show that there exist a function gL1[0,1] and a weight function 0<μ(x)1 so that g is universal for each class Lμp[0,1], p1, with respect to signs-subseries of its Fourier–Walsh series.


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Martin Grigoryan. Tigran Grigoryan. Artsrun Sargsyan. "On the universal function for weighted spaces Lμp[0,1], p1." Banach J. Math. Anal. 12 (1) 104 - 125, January 2018.


Received: 20 January 2017; Accepted: 18 February 2017; Published: January 2018
First available in Project Euclid: 3 October 2017

zbMATH: 1382.42016
MathSciNet: MR3745576
Digital Object Identifier: 10.1215/17358787-2017-0044

Primary: 42C10
Secondary: 43A15

Keywords: convergence in metric , Fourier coefficients , universal function , Walsh system , weighted spaces

Rights: Copyright © 2018 Tusi Mathematical Research Group

Vol.12 • No. 1 • January 2018
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