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LP(Rn)-Boundedness of certain commutators
引用本文:DI,Yan-mei JIANG,Li-ya. LP(Rn)-Boundedness of certain commutators[J]. 高校应用数学学报(英文版), 2010, 25(2): 185-191. DOI: 10.1007/s11766-010-2112-5
作者姓名:DI  Yan-mei JIANG  Li-ya
作者单位:Department of Mathematics,Zhejiang University of Technology,Hangzhou 310023,China 
基金项目:the Natural Science Foundation of Zhejiang Province,Department of Education of Zhejiang Province,the NNSF of China 
摘    要:In this paper, the Lp(Rn)-boundedness of the commutators generalized by BMO(Rn) function and the singular integral operator T with rough kernel Ω∈ Llog+ L(Sn-1) is proved by using the Bony's formula for the paraproduct of two functions.

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Lp(Rn)-Boundedness of certain commutators
Yan-mei Di,Li-ya Jiang. Lp(Rn)-Boundedness of certain commutators[J]. Applied Mathematics A Journal of Chinese Universities, 2010, 25(2): 185-191. DOI: 10.1007/s11766-010-2112-5
Authors:Yan-mei Di  Li-ya Jiang
Affiliation:Department of Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Abstract:In this paper,the Lp(Rn)-boundedness of the commutators generalized by BMO(Rn) function and the singular integral operator T with rough kernel Ω∈ Llog+ L(Sn-1) is proved by using the Bony's formula for the paraproduct of two functions.
Keywords:Commutators  paraproduct  Littlewood-Paley theory
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