Weighted estimates for iterated commutators of multilinear operators with non-smooth kernels

Abstract

Let T be the multilinear Calderon-Zygmund operator with non-smooth kernels and T∗ be its corresponding maximal function. In this paper, we give the weighted strong type estimates and weak end-point estimates for the iterated commutators of multilinear operator T∗ . Similar results still hold for the operator T . Mathematics subject classification (2010): 42B20, 47G10.