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Weighted estimates for vector-valued multilinear operators with non-smooth kernels

Weighted estimates for vector-valued multilinear operators with non-smooth kernels

Let T be the multilinear Calderón-Zygmund operator with non-smooth kernel and let be its corresponding maximal operator. In this paper, vector-valued weighted norm inequalities for T and are established. As applications, weighted strong type estimates for vector-valued commutators associated with T and are deduced respectively.