On the Riesz transform associated with the ultraspherical polynomials

DOI10.1007/BF02790272zbMath1143.43008MaRDI QIDQ2479600

Dariusz Buraczewski, Roman Urban, José Luis Torrea, Teresa Martinez

Publication date: 1 April 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

ultraspherical polynomialsRiesz transform

Mathematics Subject Classification ID

Harmonic analysis and spherical functions (43A90)

Related Items (6)

Riesz-Jacobi transforms as principal value integrals ⋮ Hardy spaces for Dunkl-Gegenbauer expansions ⋮ Higher order Riesz transforms in the ultraspherical setting as principal value integral operators ⋮ Riesz transforms for Jacobi expansions ⋮ Calderón-Zygmund operators related to Jacobi expansions ⋮ $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context

Cites Work

• Unnamed Item
• Unnamed Item
• Calderón-Zygmund theory for operator-valued kernels
• Conjugate expansions for ultraspherical functions
• Weak-type estimates for the Riesz transform associated with the Gaussian measure
• On the search for weighted inequalities for operators related to the Ornstein-Uhlenbeck semigroups
• Spectral multipliers for the Ornstein-Uhlenbeck semigroup
• Oscillation and variation for the Hilbert transform
• Operators Associated with the Ornstein-Uhlenbeck Semigroup
• Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Poisson Integrals for Hermite and Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

This page was built for publication: On the Riesz transform associated with the ultraspherical polynomials