Multilinear Dunkl multiplier operators

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Groups and semigroups of linear operators (47D03)

Cites Work

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Linear and bilinear multiplier operators for the Dunkl transform
\(L^p\) estimates for an oscillating Dunkl multiplier
A transference theorem for the Dunkl transform and its applications
A Hörmander type multiplier theorem for multilinear operators
Vector-valued multipliers on stratified groups
Generalized Hermite polynomials and the heat equation for Dunkl operators
Markov processes related with Dunkl operators
The Dunkl transform
Multilinear estimates and fractional integration
Multilinear Calderón-Zygmund theory
Approaching bilinear multipliers via a functional calculus
Reflection groups and orthogonal polynomials on the sphere
Harmonic analysis associated with the one-dimensional Dunkl transform
Positivity of Dunkl's intertwining operator
A characterization of the Hardy space associated with the Dunkl transform
The dual of the Hardy space associated with the Dunkl operators
\(H^p\) boundedness of multilinear spectral multipliers on stratified groups
Hörmander's multiplier theorem for the Dunkl transform
Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
Convolution operator and maximal function for the Dunkl transform
The Hardy space \(H^1\) in the rational Dunkl setting
A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications
Introduction to Smooth Manifolds
Real Interpolation of WeightedLp-Spaces
Classical Fourier Analysis
Modern Fourier Analysis
Differential-Difference Operators Associated to Reflection Groups
Integral Kernels with Reflection Group Invariance
On Commutators of Singular Integrals and Bilinear Singular Integrals
Singular Polynomials for Finite Reflection Groups
Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
A positive radial product formula for the Dunkl kernel
On Multilinear Fourier Multipliers of Limited Smoothness
Remarks on Dunkl translations of non-radial kernels
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
Some aspects of the Bergman and Hardy spaces associated with a class of generalized analytic functions

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