On unconditional and absolute convergence of the Haar series in the metric of \(L^p[0,1]\) with \(0

DOI10.1134/S0037446621040042zbMath1473.42030OpenAlexW3189897308MaRDI QIDQ820458

Martin G. Grigoryan

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621040042

zbMATH Keywords

Haar system\( L^p[0, 1)\)unconditional and absolute convergence

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)

Cites Work

• Unnamed Item
• On the universal function for the class \(L^{p}[0,1\), \(p\in (0,1)\)]
• On the universal functions
• On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series
• Functions universal with respect to the Walsh system
• On the absolute convergence of Fourier-Haar series in the metric of \(L^p(0, 1)\), \(0 < p < 1\)
• Functions with universal Fourier-Walsh series
• Universal Fourier series

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