Hörmander's multiplier theorem for the Dunkl transform

DOI10.1016/j.jfa.2019.03.002zbMath1419.42007arXiv1807.02640OpenAlexW2963123467MaRDI QIDQ2316804

Agnieszka Hejna, Jacek Dziubański

Publication date: 7 August 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02640

zbMATH Keywords

multipliersHardy spacesmaximal functionsDunkl transforms

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) Multipliers for harmonic analysis in several variables (42B15) Groups and semigroups of linear operators (47D03) (H^p)-spaces (42B30)

Related Items

Dunkl translations, Dunkl-type BMO space, and Riesz transforms for the Dunkl transform on \(L^\infty \) ⋮ Weighted inequalities for multilinear fractional operators in Dunkl setting ⋮ Singular integrals in the rational Dunkl setting ⋮ – MULTIPLIERS ON COMMUTATIVE HYPERGROUPS ⋮ Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting ⋮ Remarks on Dunkl translations of non-radial kernels ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting ⋮ Maximal operator, Cotlar's inequality and pointwise convergence for singular integral operators in Dunkl setting ⋮ Semigroup and Riesz transform for the Dunkl-Schrödinger operators ⋮ The Dunkl kernel and intertwining operator for dihedral groups ⋮ On semigroups generated by sums of even powers of Dunkl operators ⋮ Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting ⋮ Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting ⋮ The dual of the Hardy space associated with the Dunkl operators

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