A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation

Yuying Chen, Yanchang Han, Yongsheng Han +2

We prove a Fefferman--Stein good-$\lambda$ inequality for the Dunkl Poisson semigroup associated with a finite reflection group and a non-negative multiplicity function. For arbitrary co…