Maximal, Littlewood-Paley, variation, and oscillation operators in the rational Dunkl setting

Cites Work

Riesz transforms for Dunkl transform
Analysis on $h$-harmonics and Dunkl transforms. Edited by Sergey Tikhonov
On Schrödinger oscillatory integrals associated with the Dunkl transform
Riesz transform and Riesz potentials for Dunkl transform
Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
Estimates for Littlewood-Paley operators in $\mathrm{BMO}(\mathbb R^n)$
The strong p-variation of martingales and orthogonal series
Variation in probability, ergodic theory and analysis
Generalized Hermite polynomials and the heat equation for Dunkl operators
The $p$-variation of partial sum processes and the empirical process
Weighted variation inequalities for differential operators and singular integrals in higher dimensions
Littlewood--Paley operators associated with the Dunkl operator on $\mathbb R$.
Reflection groups and orthogonal polynomials on the sphere
Oscillation and variation for the Hilbert transform
Asymptotic analysis for the Dunkl kernel
Calderón-Zygmund theory for non-integral operators and the $H^\infty$ functional calculus
Strong $q$-variation inequalities for analytic semigroups
Positivity of Dunkl's intertwining operator
On semigroups generated by sums of even powers of Dunkl operators
On the representing measures of Dunkl's intertwining operator
Upper and lower bounds for the Dunkl heat kernel
The dual of the Hardy space associated with the Dunkl operators
Variation bounds for spherical averages
Dunkl-Schrödinger operators
Hörmander's multiplier theorem for the Dunkl transform
Harmonic functions, conjugate harmonic functions and the Hardy space $H^1$ in the rational Dunkl setting
Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms
Convolution operator and maximal function for the Dunkl transform
The Hardy space $H^1$ in the rational Dunkl setting
Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
Singular integrals in the rational Dunkl setting
Oscillation and variation inequalities for convolution powers.
Maximal theorems and square functions for analytic operators on L ^p -spaces
Strong variational and jump inequalities in harmonic analysis
Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
Differential-Difference Operators Associated to Reflection Groups
Another Characterization of BMO
Integral Kernels with Reflection Group Invariance
La variation d'ordre p des semi-martingales
Extensions of Hardy spaces and their use in analysis
Oscillation in ergodic theory
Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
Spaces of type BLO for non-doubling measures
Another Characterization of BLO
Oscillation and variation for singular integrals in higher dimensions
A positive radial product formula for the Dunkl kernel
Variation inequalities for the Fejér and Poisson kernels
Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting
Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
Hardy spaces for the Dunkl harmonic oscillator
Dimension‐free square function estimates for Dunkl operators
Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions
Remarks on Dunkl translations of non-radial kernels
A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting
Riesz transforms and commutators in the Dunkl setting
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