On the Weyl multipliers for general Haar and Franklin systems

DOI10.3103/S106836232470016XMaRDI QIDQ6637614

Gegham Gevorkian

Publication date: 13 November 2024

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

convergence almost everywhereunconditional convergencegeneral Franklin systemgeneral Haar system

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

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• On series with respect to the Franklin system
• Weyl multipliers for the unconditional convergence of series in a Franklin system
• Projections onto piecewise linear functions
• A set of continuous orthogonal functions.
• Zur Theorie der orthogonalen Funktionensysteme. (Erste Mitteilung.)
• DIVERGENT FOURIER SERIES
• On absolute and unconditional convergence of series in the general Franklin system
• Unconditionality of general Franklin systems in L^p[0,1], 1<p<∞

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