Riesz-Jacobi transforms as principal value integrals

DOI10.1007/s00041-015-9430-1zbMath1345.42034arXiv1405.7069OpenAlexW1944575948MaRDI QIDQ301572

Alejandro J. Castro, Adam Nowak, Tomasz Zachary Szarek

Publication date: 30 June 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7069

zbMATH Keywords

integral representationJacobi operatorRiesz transformJacobi expansionprincipal value integral

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis (42C99)

Related Items (6)

Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters ⋮ Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions ⋮ Lusin area integrals related to Jacobi expansions ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ Sharp Hardy's inequality for orthogonal expansions in \(H^p\) spaces ⋮ Analysis related to all admissible type parameters in the Jacobi setting

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