Multiple weighted estimates for multilinear commutators of multilinear singular integrals with generalized kernels

In this paper, the weighted L-p boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.