Weighted Norm Inequalities for Vilenkin-Fourier Series

DOI10.2307/2154556zbMath0787.42016OpenAlexW4240822489MaRDI QIDQ4276545

Wo-Sang Young

Publication date: 16 May 1994

Full work available at URL: https://doi.org/10.2307/2154556

zbMATH Keywords

Vilenkin-Fourier seriesVilenkin systemweighted norm inequalitiesVilenkin groupsgeneralized Walsh-Fourier seriesGosselin's \(A_ p\) conditiontheorem of Muckenhoupt

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (11)

Approximation of polynomials in the Haar system in weighted symmetric spaces ⋮ Approximation by Haar and Walsh polynomials in weighted variable exponent Lebesgue spaces ⋮ Weighted norm inequalities for maximal operator of Fourier series ⋮ Vilenkin-Fourier series in variable Lebesgue spaces ⋮ Polynomial approximation with respect to multiplicative systems in the Morrey space ⋮ Littlewood-Paley-Rubio de Francia inequality for unbounded Vilenkin systems ⋮ Approximation by Haar type polynomials in weighted rearrangement invariant spaces ⋮ Maximal functions and weighted norm inequalities on local fields ⋮ Several Questions of Approximation by Polynomials with Respect to Multiplicative Systems in Weighted Lp Spaces ⋮ Approximation by Vilenkin polynomials in weighted Orlicz spaces ⋮ Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces

Cites Work

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• \(H^p\) spaces of several variables
• Multipliers on Weighted L p -Spaces Over Certain Totally Disconnected Groups
• Weighted norm inequalities for maximal functions and singular integrals
• A Weighted Norm Inequality for Vilenkin-Fourier Series
• Mean Convergence of Generalized Walsh-Fourier Series
• A weighted norm inequality for singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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