We consider operator-valued Bochner–Riesz means with weight function under a finite reflection group for the Dunkl transform. We establish the maximal inequality of the weighted Hardy–Littlewood maximal function, and we apply it to the maximal inequality of operator-valued Bochner–Riesz means for . Furthermore, we also obtain the corresponding pointwise convergence theorem.
Banach J. Math. Anal.
12(4):
1064-1083
(October 2018).
DOI: 10.1215/17358787-2018-0012