The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$

DOI10.1070/SM8806zbMath1392.42027OpenAlexW2793242172MaRDI QIDQ4568557

Martin G. Grigoryan, Artsrun Sargsyan

Publication date: 22 June 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8806

zbMATH Keywords

Walsh systemFourier coefficientsuniversal functionconvergence in a metric

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (12)

Functions, universal with respect to the classical systems ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Functions with universal Fourier-Walsh series ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Functions universal with respect to the Walsh system ⋮ On the existence and structure of universal functions ⋮ Unnamed Item ⋮ Universal Fourier series ⋮ On the structure of universal functions for classes $L^p[0,1)^2$, $p\in(0,1)$, with respect to the double Walsh system ⋮ Functions universal with respect to the trigonometric system ⋮ On Fourier series that are universal modulo signs ⋮ Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system

Cites Work

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• ON SOME PECULIARITIES OF FOURIER SERIES INL^p(p< 2)
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