On existence of a universal function for \(L^p[0, 1]\) with \(p\in(0, 1)\)

DOI10.1134/S0037446616050086zbMath1361.42028MaRDI QIDQ511335

Martin G. Grigoryan, Artsrun Sargsyan

Publication date: 15 February 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Walsh systemFourier coefficientsuniversal functionconvergence in metric

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

On the structure of functions, universal for weighted spaces \(L_\mu ^p\left[ {0,1} \right,p > 1\)]

Cites Work

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• On null-series by double Walsh system
• Sequences of derivatives and normal families
• THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
• On limit functions of trigonometric series
• On the representation of functions by orthogonal series in weighted $L^p$ spaces
• On Walsh series with monotone coefficients
• REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)
• ON SOME PECULIARITIES OF FOURIER SERIES INL^p(p< 2)

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