4 citations · 5 across the 20 of their papers we have counts for
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Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms
Francesco D'Emilio, Brett D. Wick
We develop a martingale-transform framework for Dunkl harmonic analysis and apply it to prove estimates for the Dunkl Riesz transforms using the martingale decomposition of t…
The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
In this paper we prove the Corona theorem for slice hyperholomorphic functions in a general way that applies to functions with values in a Clifford algebra for any $n…
Two-weight inequalities for the Dunkl--Poisson integrals
Qingdong Guo, Ji Li, Brett D. Wick +1
We prove an two-weight testing theorem for the Dunkl--Poisson semigroup. The difficulty is geometric. The Dunkl orbit distance has several reflected diagonals, so a single or…
Haar bases for multi-parameter twisted structures
Ji Li, Chong-Wei Liang, Brett D. Wick +2
Motivated by the Cauchy--Szegő projections on a broad class of Siegel domains and the geometric quotient structures of nilpotent Lie groups observed by Nagel, Ricci, and Stein, we…