Factorization of Lipschitz functions and absolute convergence of Vilenkin-Fourier series

DOI10.1007/BF01442486zbMath0462.43004OpenAlexW2038756104MaRDI QIDQ1153301

Leonard Y. H. Yap, Tong-Seng Quek

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178044

zbMATH Keywords

Vilenkin-Fourier seriesfactorization of Lipschitz functions

Mathematics Subject Classification ID

Convolution, factorization for one variable harmonic analysis (42A85) Special properties of functions of several variables, Hölder conditions, etc. (26B35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (6)

Multipliers from one Lipschitz space to another ⋮ Fourier multipliers on compact groups ⋮ Fourier multipliers of Lipschitz spaces ⋮ Wiener-Ingham type inequality for Vilenkin groups and its application to harmonic analysis ⋮ Lipschitz multipliers on compact O-dimensional groups ⋮ Fourier transforms of Lipschitz functions and Fourier multipliers on compact groups

Cites Work

• Absolute convergence of Vilenkin-Fourier series
• Absolute convergence of Fourier series on certain groups. II
• Absolute convergence of Fourier series on certain groups
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