MULTIPLE WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED KERNELS

被引：0
|
作者：
Gao, Liwen [1 ]
Lin, Yan [1 ]
Yang, Shuhui [1 ]
机构：
[1] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Multilinear singular integral with generalized kernel; multiple weights; iterated commutator; BMO function; CALDERON-ZYGMUND OPERATORS; DINIS TYPE; SPACES;
D O I：
10.4134/JKMS.j210768
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the weighted L-p boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.
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页码：207 / 226
页数：20
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