Riesz transforms and commutators in the Dunkl setting

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis on homogeneous spaces (43A85) (H^p)-spaces (42B30)

Cites Work

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Riesz transforms characterizations of Hardy spaces $H^1$ for the rational Dunkl setting and multidimensional Bessel operators
The sharp weighted bound for general Calderón-Zygmund operators
Riesz transforms for Dunkl transform
Commutators in the two-weight setting
An elementary proof of the $A_{2}$ bound
Quantitative weighted estimates for rough homogeneous singular integrals
Linear and bilinear multiplier operators for the Dunkl transform
Riesz transform and Riesz potentials for Dunkl transform
The multiplier of the interval $[-1,1]$ for the Dunkl transform on the real line
Calogero-Moser systems and representation theory
A transference theorem for the Dunkl transform and its applications
Factorization theorems for Hardy spaces in several variables
On the compactness of operators of Hankel type
The Dunkl transform
Lecture notes on Dunkl operators for real and complex reflection groups
Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups
Exact operator solution of the Calogero-Sutherland model
Positivity of Dunkl's intertwining operator
Compactness of commutator of Riesz transforms in the two weight setting
Upper and lower bounds for the Dunkl heat kernel
The dual of the Hardy space associated with the Dunkl operators
The $L^p$-to-$L^q$ boundedness of commutators with applications to the Jacobian operator
Dunkl-Schrödinger operators
Compactness of Riesz transform commutator on stratified Lie groups
Harmonic functions, conjugate harmonic functions and the Hardy space $H^1$ in the rational Dunkl setting
On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
John-Nirenberg inequalities and weight invariant BMO spaces
Convolution operator and maximal function for the Dunkl transform
Two weight commutators on spaces of homogeneous type and applications
Singular integrals in the rational Dunkl setting
Maximal operator, Cotlar's inequality and pointwise convergence for singular integral operators in Dunkl setting
Orthogonal polynomials of several variables
Differential-Difference Operators Associated to Reflection Groups
Extensions of Hardy spaces and their use in analysis
A positive radial product formula for the Dunkl kernel
Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
A Simple Proof of the A2 Conjecture
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting