| 可变核Marcinkiewicz积分交换子的一个加权有界性 |
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| 引用本文： | 王安静,赵凯,刘晓辉,黄智.可变核Marcinkiewicz积分交换子的一个加权有界性[J].青岛大学学报(自然科学版),2010,23(4):37-40,45. |
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| 作者姓名： | 王安静 赵凯 刘晓辉 黄智 |
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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： | 利用加权Herz型Hardy空间的原子分解,借助于加权Lp有界性的结论,证明了可变核Marcinkiewicz积分和Lipschitz函数生成的交换子μΩ,b是从加权Herz型Hardy空间到加权Herz空间有界的。
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| 关 键 词： | Marcinkiewicz积分 交换子 加权Herz型Hardy空间 Lipschitz函数 |
A Weighted Boundedness of Commutators Related to Marcinkiewicz Integrals with Variable Kernels |
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| WANG An-jing,ZHAO Kai,LIU Xiao-hui,HUANG Zhi.A Weighted Boundedness of Commutators Related to Marcinkiewicz Integrals with Variable Kernels[J].Journal of Qingdao University(Natural Science Edition),2010,23(4):37-40,45. |
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| Authors: | WANG An-jing ZHAO Kai LIU Xiao-hui HUANG Zhi |
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| Institution: | (College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | The boundedness of the commutators μΩ,b generated by the Marcinkiewicz integrals μΩ with variable kernel and a Lipschitz function b is obtained from weighted Herz type Hardy spaces to weighted Herz spaces,by using the method of the atomic decomposition of the weighted Herz type Hardy Space and the results obtained by other experts of boundedness of weighted Lq spaces. |
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| Keywords: | commutator Marcinkiewicz integrals with variable kernel weighed Herz-type Hardy space Lipschitz function |
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