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On some multilinear commutators in variable Lebesgue spaces

On some multilinear commutators in variable Lebesgue spaces

In this paper, the authors obtain some characterizations of BMO in terms of commutators of multilinear fractional integrals and Caldrón-Zygmund singular integrals on variable Lebesgue spaces.The corresponding weighted estimates for vector-valued commutators and multilinear commutators with vector symbol on variable Lebesgue spaces are also considered.