A∞ weight estimates for vector-valued commutators of multilinear fractional integral

摘要

In this paper,the authors get the Coifman type weighted estimates and weak weighted LlogL estimates for vector-valued generalized commutators of multilinear fractional integral with ω∈A∞.Furthermore,both the boundedness of vector-valued multilinear fractional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.