Multiple weighted estimates for commutators of multilinear singular integrals with non-smooth kernels

Multilinear commutators and iterated commutators generated by the multilinear singular integrals with non-smooth kernels and BMO functions are studied. By the weighted estimates of a class of new variant maximal operators and the sharp maximal functions, the multiple weighted norm inequalities for such operators are obtained. In particular, some previous results in Anh and Duong (2010) [1], Lerner et al. (2009) [4], Pérez et al. (2011) [5] are improved or extended significantly.