| 一类奇异积分算子的加权估计 |
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| 引用本文： | 朱伟杰,刘素英,赵凯,江修田.一类奇异积分算子的加权估计[J].纯粹数学与应用数学,2013(3):293-298,317. |
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| 作者姓名： | 朱伟杰 刘素英 赵凯 江修田 |
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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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| 基金项目： | 国家自然科学基金（11041004）;山东省自然科学基金（ZR2010AM032）. |
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| 摘 要： | 假设A是一个Young函数,MD#为广义sharp极大函数.本文首先引进了LA-Hrmander条件,对于满足LA-Hrmander条件的算子T,得到了与T相关的广义sharp极大函数的估计.然后,再利用该估计得到了算子T的加权Lp范数被Hardy-Littlewood极大函数和与Aˉ相关的极大函数的加权Lp范数所控制(0
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| 关 键 词： | sharp极大函数 Young函数 Hardy-Littlewood极大函数 奇异积分算子 |
Weighted estimates for a class of sigular integral operator |
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| Zhu Weijie,Liu Suying,Zhao Kai,Jiang Xiutian.Weighted estimates for a class of sigular integral operator[J].Pure and Applied Mathematics,2013(3):293-298,317. |
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| Authors: | Zhu Weijie Liu Suying Zhao Kai Jiang Xiutian |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | In this paper, suppose that A is a Young function and MD# is a new sharp maximal function. First, we introduce LA-HSrmander condition. For the operator T satisfying LA-HSrmander condition, we obtain the weighted estimates for the new sharp maximal function associated with operator T. Then, we use this result to prove that the LP（ω） norm of the operator can be dominated by the LP（ω） norm of a maximal function associated to the complementary function of A and a maximal function, for any weight w in A∞ and 0 〈 p 〈 ∞. |
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| Keywords: | sharp maximal function Young function Hardy-Littlewood maximal function singular integral operator |
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