Weighted Norm Inequalities of the Maximal Commutator of Quasiradial Bochner-Riesz Operators

In this paper, we obtain certain Lpw(Rn)-mapping properties for the maximal operator associated with the commutators of quasiradial Bochner-Riesz means with index δ under certain surface condition on Σed , 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 (H1w(Rn), L1w(Rn))-mapping properties for b ∈ BMO(Rn) and w ∈ A1 under the surface condition on Σed .