Weighted norm inequalities of the maximal commutator of quasiradial Bochner-Riesz operators

In this paper, we obtain certain Lwp(ℝn)-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σϱd, provided that δ > (n − 1)/2, b ∈ BMO(ℝn), 1 < p < ∞ and w ∈ A1. Moreover, if δ > (n − 1)/2, then we prove that the above maximal operator admits weak type (Hw1(ℝn), Lw1(ℝn))-mapping properties for b ∈ BMO(ℝn) and w ∈ A1 under the surface condition on Σϱd.