Sharp weighted estimates for vector-valued singular integral operators and commutators

Abstract

We prove sharp weighted norm inequalities for vector-valued singular integral operators and commutators. We first consider the strong (p, p) case with p > 1 and then the weak-type (1, 1) estimate. Our results do not assume any condition on the weight function and involve iterations of the classical Hardy-Littlewood maximal function. © 2003 Applied Probability Trust.