Commutators of multilinear Calderon-Zygmund operators with Dini type kernels on some function spaces

In this paper, we establish some new boundedness for commutators of multilinear Calderon-Zygmund operators with kernels of type ω from product of Lebesgue spaces into Lebesgue spaces, Lipschitz spaces, and Triebel-Lizorkin spaces, which extend some previous results.