NNSF of China [11071200]; NFS of Fujian Province of China [2010J01013]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], Perez et al. (2011) [5] are improved or extended significantly. (C) 2012 Elsevier Inc. All rights reserved
