| Littlewood-Paley g-函数交换子的加权估计 |
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| 引用本文： | 何月香,王学敏,王月山.Littlewood-Paley g-函数交换子的加权估计[J].数学的实践与认识,2010,40(12). |
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| 作者姓名： | 何月香 王学敏 王月山 |
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| 摘 要： | 设g_(φ,b)是Littlewood-Paley g-函数与b生成的交换子,ω∈A_1.证明了若b属于加权BMO空间BMO(ω),则g_(φ,b)是L~p(ω)到L~p(ω~(1-p))(1p∞)有界的;若b属于加权Lipschitz空间Lip_β(ω)(0β1),则g_(φ,b)是L~p(ω)到L~q(ω~(1-q))的有界算子,其中1pq∞,1/q=1/p-β/n.
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| 关 键 词： | g-函数 交换子 加权Lipschitz函数 加权BMO函数 |
Estimates for Commutator of Littlewood-Paley g-Functions in Weighted Spaces |
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| HE Yue-xiang,WANG Xue-min,WANG Yue-shan.Estimates for Commutator of Littlewood-Paley g-Functions in Weighted Spaces[J].Mathematics in Practice and Theory,2010,40(12). |
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| Authors: | HE Yue-xiang WANG Xue-min WANG Yue-shan |
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| Abstract: | Let g_(ψ,b) denote the commutator generated by g-function and b.In this paper,we show that ifω∈A_1,b∈BMO(ω) and 1
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| Keywords: | g-function commutator weighted BMO weighted Lipschitz function |
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