Cesàro summability of Hardy spaces on the ring of integers in a local field

DOI10.1006/jmaa.2000.6922zbMath0965.42018OpenAlexW2026580308MaRDI QIDQ1587449

Shijun Zheng

Publication date: 2 August 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6922

zbMATH Keywords

Lorentz spaceHardy spacesHardy-Lorentz spacealmost everywhere convergenceexpansions of functionsmaximal Cesàro operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ Cesàro means of integrable functions with respect to unbounded Vilenkin systems ⋮ Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers

Cites Work

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• Fourier series on the ring of integers in a 𝑝-series field
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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