| 具有Dini型条件的奇异积分算子的核的估计及应用 |
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| 引用本文： | 张东凯,冯文莉.具有Dini型条件的奇异积分算子的核的估计及应用[J].河北科技大学学报,2007,28(1):19-21. |
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| 作者姓名： | 张东凯 冯文莉 |
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| 作者单位： | 石家庄学院数学系,河北石家庄,050035 |
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| 摘 要： | 对奇异积分算子的研究是近代调和分析的重要内容,奇异积分算子的核决定着该算子的性质,现在研究的奇异积分算子都具有标准核。本文把核的条件减弱,使之具有Dini型条件,并得到了关于这类核的性质,同时给出了相应的应用。
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| 关 键 词： | 奇异积分算子 Dini型条件 核 极大函数 |
| 文章编号： | 1008-1542（2007）01-0019-03 |
| 收稿时间： | 2005/10/28 0:00:00 |
| 修稿时间： | 2005-10-28 |
Estimation and application of kernel of singular integral operators with Dini-type condition |
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| ZHANG Dong-kai and FENG Wen-li.Estimation and application of kernel of singular integral operators with Dini-type condition[J].Journal of Hebei University of Science and Technology,2007,28(1):19-21. |
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| Authors: | ZHANG Dong-kai and FENG Wen-li |
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| Institution: | Mathematics Department,Shijiazhuang University,Shijiazhuang Hehei 050035,China |
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| Abstract: | The study of weighted inequalities for singular integral operators has played a central role in modern harmonic analysis.The kernel of singular integral operators defines its inequality.The paper studies singular integral operators with standard kernel.This paper declines the condition of kernel to Dini-type condition,obtains an estimation of its kernel and then gives the application of it. |
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| Keywords: | singular integral operators Dini-type condition kernel maximal function |
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