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

• 作者: Yuan Zhao Haibo Lin Yan Meng
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: Articles
• 页码范围: 519-546
• 页数: 28页
• 语种: 英文

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 Calderdn-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 TΠ(b) generated by T and (b) are obtained.