Riesz transforms characterizations of Hardy spaces \(H^1\) for the rational Dunkl setting and multidimensional Bessel operators

DOI10.1007/s12220-015-9642-2zbMath1353.42015arXiv1503.00950OpenAlexW1555515926MaRDI QIDQ345281

Jacek Dziubański

Publication date: 1 December 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00950

zbMATH Keywords

Hardy spacemaximal operatoratomic decompositionRiesz transformDunkl theory

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (H^p)-spaces (42B30) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (10)

Riesz transform characterizations for multidimensional Hardy spaces ⋮ Potential kernels for radial Dunkl Laplacians ⋮ Hardy spaces for the Dunkl harmonic oscillator ⋮ The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform ⋮ An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ The Dunkl-Hausdorff operator is bounded on the real Hardy space ⋮ Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting ⋮ Sharp multiplier theorem for multidimensional Bessel operators ⋮ The dual of the Hardy space associated with the Dunkl operators ⋮ On the generalized Hilbert transform and weighted Hardy spaces in \(q\)-Dunkl harmonic analysis

Uses Software

• DLMF

Cites Work

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