| 一类Marcinkiewicz积分交换子的加权有界性 |
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| 引用本文： | 刘晓辉,赵凯,黄智,王安静.一类Marcinkiewicz积分交换子的加权有界性[J].青岛大学学报(自然科学版),2010,23(4):32-36. |
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| 作者姓名： | 刘晓辉 赵凯 黄智 王安静 |
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| 作者单位： | 青岛大学数学科学学院,山东青岛266071 |
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| 摘 要： | 借助于原子Hardy空间理论,利用Marcinkiewicz积分交换子的加权Lp有界性,证明了某种关于核的对数型Lipschitz条件下,带零次齐次核的Marcinkiewicz积分交换子是从H1(Rn)到Ln/(n-β)(Rn)有界的。
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| 关 键 词： | Marcinkiewicz积分 Hardy空间 权 交换子 |
Weighted Boundedness of the Commutator of Some Marcinkiewicz Integral |
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| LIU Xiao-hui,ZHAO Kai,HUANG Zhi,WANG An-jing.Weighted Boundedness of the Commutator of Some Marcinkiewicz Integral[J].Journal of Qingdao University(Natural Science Edition),2010,23(4):32-36. |
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| Authors: | LIU Xiao-hui ZHAO Kai HUANG Zhi WANG An-jing |
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| Institution: | (College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | Under the suppose of the kernel satisfying the logarithmic type Lipschitz conditions,the boundedness of the commutator of Marcinkiewicz integral with homogeneous kernel of degree zero is obtained from H1ω（Rn） to Ln/（n-β）ωn/（n-β）（Rn）,by the theory of atomic Hardy spaces and the Lp weighted boundedness of the commutator μΩ,b. |
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| Keywords: | Marcinkiewicz integral Hardy space weighted commutator |
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