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Let T be the multilinear Calderón-Zygmund operator with non-smooth kernel and let T * be its corresponding maximal operator. In this paper, vector-valued weighted norm inequalities for T and T * are established. As applications, weighted strong type estimates for vector-valued commutators associated with T and T * are deduced respectively.doi:10.1186/1029-242x-2013-250 fatcat:rsu7poyhozgjblxqyj5r6dfnpq