max{n/p − (n + 1)/2, [n/p]rw(rw − 1)−1 − (n + 1)/2}, where rw is the critical index of w for the reverse Hölder condition. We also prove the H p w − L p w boundedness of the maximal Bochner–Riesz means T δ ∗ for 0
n/p −(n +1)/2. © 2006 Elsevier Inc. All rights reserved.