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带非光滑核的多线性奇异积分算子的极大交换子
引用本文:陈晓莉,陈杰诚.带非光滑核的多线性奇异积分算子的极大交换子[J].数学学报,2011(4):529-540.
作者姓名:陈晓莉  陈杰诚
作者单位:浙江大学数学系;江西师范大学数信学院;
基金项目:国家自然科学基金资助项目(10871173,10961015,10961016); 江西省教育厅基金(GJJ10397)
摘    要:本文研究了具有非光滑核的m-线性Calderon-Zygmund算子的极大交换子的Cotlar不等式,建立了上述m-线性Calderon-Zygmund算子的交换子和极大交换子的加权不等式.

关 键 词:多线性奇异积分  极大交换子  Cotlar不等式及加权范数不等式

Maximal Commutators for Multilinear Singular Integrals with Non-Smooth Kernels
Xiao Li CHEN.Maximal Commutators for Multilinear Singular Integrals with Non-Smooth Kernels[J].Acta Mathematica Sinica,2011(4):529-540.
Authors:Xiao Li CHEN
Institution:Xiao Li CHEN Department of Mathematics,Zhejiang University,Hangzhou 310027,P.R.China Department of Mathematics,Jiangxi Normal University,Nanchang 330022,P.R.China Jie Cheng CHEN Department of Mathematics,P.R.China
Abstract:This paper is concerned with the Cotlar's inequality for the maximal commutators of the m-linear Calderon-Zygmund operator with non-smooth kernels and the weighted norm inequalities for the commutators and the maximal commutators of multilinear singular integrals are established.
Keywords:multilinear singular integral  maximal commutator  Cotlar's inequality and weighted norm inequalities  
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