Littlewood-Paley-Rubio de Francia inequality for unbounded Vilenkin systems

DOI10.1016/j.jat.2023.106006arXiv2207.05035OpenAlexW4389109945MaRDI QIDQ6198114

A. Tselishchev

Publication date: 20 February 2024

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.05035

zbMATH Keywords

Fourier multipliersLittlewood-Paley theoryVilenkin systemsRubio de Francia inequality

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Cites Work

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• Weights, extrapolation and the theory of Rubio de Francia.
• On generalized Walsh Fourier series
• A Littlewood-Paley inequality for arbitrary intervals
• Multipliers for weighted \(L^p\)-spaces, transference, and the \(q\)-variation of functions
• Martingale Hardy spaces and their applications in Fourier analysis
• Almost Everywhere Convergence of Vilenkin-Fourier Series of H 1 Functions
• Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
• Mean Convergence of Generalized Walsh-Fourier Series
• Weighted Norm Inequalities for Vilenkin-Fourier Series
• Littlewood-Paley and Multiplier Theorems for Vilenkin-Fourier Series
• Classical and Multilinear Harmonic Analysis
• A Littlewood-Paley-Rubio de Francia inequality for bounded Vilenkin systems
• Classical Fourier Analysis
• Littlewood–Paley–Rubio de Francia inequality for the Walsh system
• Theorems on Fourier Series and Power Series (II)^†

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