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This paper is concerned with the norm estimates for the multilinear singular integral operators and their commutators formed by BMO functions on the weighted amalgam spaces L v w → q , L p α ℝ n . Some criterions of boundedness for such operators in L v w → q , L p α ℝ n are given. As applications, the norm inequalities for the multilinear Calderón-Zygmund operators and multilinear singular integrals with nonsmooth kernels as well as the corresponding commutators on L v w → q , L p α ℝ n are obtained.

On the Multilinear Singular Integrals and Commutators in the Weighted Amalgam Spaces