On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series

DOI10.1215/17358787-2017-0012zbMath1376.42037OpenAlexW2614147628MaRDI QIDQ2011954

Martin G. Grigoryan

Publication date: 27 July 2017

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1494900292

zbMATH Keywords

universal functionmonotone coefficientsFourier-Walsh coefficients

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (12)

On unconditional and absolute convergence of the Haar series in the metric of \(L^p[0,1\) with \(0<p<1 \)] ⋮ On Fourier series almost universal in the class of measurable functions ⋮ On almost universal double Fourier series ⋮ On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ Functions with universal Fourier-Walsh series ⋮ Functions universal with respect to the Walsh system ⋮ On the existence and structure of universal functions ⋮ On behavior of Fourier coefficients and uniform convergence of Fourier series in the Haar system ⋮ Unnamed Item ⋮ Universal Fourier series ⋮ Functions universal with respect to the trigonometric system ⋮ On the convergence of negative-order Cesàro means of Fourier and Fourier-Walsh series

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