Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform

DOI10.1007/s11118-021-09925-0zbMath1504.42083arXiv1902.01761OpenAlexW3159282316MaRDI QIDQ2099172

Alberto Arenas, Edgar Labarga, Óscar Ciaurri

Publication date: 23 November 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01761

zbMATH Keywords

Jacobi polynomialsRiesz transformsweighted norm inequalitiesdiscrete Calderón-Zygmund theorydiscrete harmonic analysis

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers ⋮ Variation and oscillation for semigroups associated with discrete Jacobi operators

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup
• Discrete harmonic analysis associated with ultraspherical expansions
• \(L^2\)-theory of Riesz transforms for orthogonal expansions
• Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
• A weighted transplantation theorem for Jacobi coefficients
• Harmonic analysis associated with a discrete Laplacian
• Transplantation theorems and multiplier theorems for Jacobi series

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