| 截口上的奇异积分高阶交换子的加权估计 |
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| 引用本文： | 刘爽.截口上的奇异积分高阶交换子的加权估计[J].纯粹数学与应用数学,2012(1):58-66,91. |
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| 作者姓名： | 刘爽 |
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| 作者单位： | 西北师范大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(11161042;11071250) |
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| 摘 要： | 研究截口上的奇异积分高阶交换子Hbmf(x),利用截口F关于核的ki(x,y)估计,在一定假设下得到了Hbm的Sharp极大函数估计和加权弱(1,1)型估计.
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| 关 键 词： | 关奇异积分 高阶交换子 截口 BMOF |
Weighted estimated for higher order commutators of singular integral operators associated with the sections |
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| Liu Shuang.Weighted estimated for higher order commutators of singular integral operators associated with the sections[J].Pure and Applied Mathematics,2012(1):58-66,91. |
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| Authors: | Liu Shuang |
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| Institution: | Liu Shuang(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | The aim of this paper is to study the weighted estimates for the higher order commutators of singular integral operators Hbm f(x).Under some hypotheses of ki(x,y) associated with the sections F,the sharp maximal functions and the weighted weak-type(1,1) estimates for Hbm is obtained. |
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| Keywords: | singular integral operators higher order commutators sections BMOF |
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