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Let T be the multilinear square function with a kernel of Dini’s type and Tq be the vector-valued version of T . In this paper, we obtain the weighted strong type and weighted end-point weak type estimates for the commutators of Tq respectively if the kernels satisfies L logLl-Dini type conditions. c ©2017 All rights reserved.

Multiple weighted estimates for vector-valued commutators of multilinear square functions