Almost Everywhere Convergence of Vilenkin-Fourier Series of H 1 Functions

DOI10.2307/2048292zbMath0706.42017OpenAlexW4241225443MaRDI QIDQ3487967

Wo-Sang Young

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048292

zbMATH Keywords

Walsh functionsRademacher functionsVilenkin-Fourier seriesVilenkin systemdyadic groupcountable direct product of cyclic groups

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (2)

Littlewood-Paley-Rubio de Francia inequality for unbounded Vilenkin systems ⋮ Almost everywhere convergence of lacunary partial sums of Vilenkin-Fourier series

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