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向量值Littlewood-Paley算子的多线性交换子的Sharp函数估计
引用本文:陈大钊. 向量值Littlewood-Paley算子的多线性交换子的Sharp函数估计[J]. 邵阳学院学报(自然科学版), 2013, 0(3): 4-9
作者姓名:陈大钊
作者单位:邵阳学院理学与信息科学系,湖南邵阳422004
摘    要:证明了向量值Littlewood-Paley算子的多线性交换子的Sharp函数估计,利用该估计,得到了该向量值多线性交换子的加权L^p不等式.

关 键 词:Littlewood-Paley算子  向量值多线性交换子  BMO空间  Sharp函数不等式

Sharp Function Estimate for Vector-Valued Multilinear Commutator of Littlewood-Paley Operator
CHEN Da-zhao. Sharp Function Estimate for Vector-Valued Multilinear Commutator of Littlewood-Paley Operator[J]. Journal of Shaoyang University(Natural Science Edition), 2013, 0(3): 4-9
Authors:CHEN Da-zhao
Affiliation:CHEN Da-zhao ( Department of Science and Information Science, Shaoyang University, Shaoyang, Hunan 422004, China)
Abstract:We proved the sharp function estimate for the vector-valued multilinear commutator related to Littlewood-Paley operator. By using the sharp estimate,we obtained the weighted L^p-norm inequality for the vector-valued multilinear commutator.
Keywords:littlewood-Paley operator  vector-valued multilinear commutator  BMO  sharp inequality.
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