Dunkl spectral multipliers with values in UMD lattices

DOI10.1016/j.jfa.2016.12.013zbMath1371.42011OpenAlexW2565159635MaRDI QIDQ504652

Christoph Kriegler, Luc Deleaval

Publication date: 17 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.12.013

zbMATH Keywords

spectral multiplier theoremsDunkl LaplacianUMD valued \(L^p\) spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Functional calculus for linear operators (47A60)

Related Items

Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting ⋮ Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform ⋮ \(L^p\) estimates for an oscillating Dunkl multiplier ⋮ Dunkl-Schrödinger operators ⋮ Hörmander's multiplier theorem for the Dunkl transform ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates ⋮ Vector-valued extensions of operators through multilinear limited range extrapolation

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