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

作　　者：YU Xiao CHEN Jie-cheng ZHANG Yan-dan 

机构地区：[1]Department of Mathematics,Zhejiang University [2]Department of Mathematics,Shangrao Normal University [3]Department of Mathematics,Zhejiang Normal University [4]Department of Mathematics,Zhejiang University of Science and Technology

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第3期335-357,共23页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11271330,11226104,11226108);the Jiangxi Natural Science Foundation of China(20114BAB211007);the Science Foundation of Jiangxi Education Department(GJJ13703)

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 w ∈ A∞. Furthermore, both the boundedness of vector-valued multilinear frac- tional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.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 w ∈ A∞. Furthermore, both the boundedness of vector-valued multilinear frac- tional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.

关 键 词：VECTOR-VALUED COMMUTATOR multilineax fractional integral weighted. 

分 类 号：O172.2[理学—数学]