Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces  

作　　者：Yuan Zhao Haibo Lin Yan Meng 

机构地区：[1]College of Science,China Agricultural University,Beijing 100083,China [2]School of Mathematics,Renmin University of China,Beijing 100872,China

出　　处：《Science China Mathematics》2021年第3期519-546,共28页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11301534 and 11571039)。

摘　　要：Let(X, d, μ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and geometrically doubling conditions, which includes the space of homogeneous type and the Euclidean space with the non-doubling measure as special cases. Let T be a multilinear Calderón-Zygmund operator and b:=(b1,..., bm) be a finite family of RBMO(μ) functions. In this paper, some weak-type multiple weighted estimates for the iterated commutator T∏bgenerated by T and b are obtained.

关 键 词：non-homogeneous metric measure space multiple weight COMMUTATOR multilinear Calderón-Zygmund operator 

分 类 号：O177[理学—数学]