| Clifford分析中Cauchy型奇异积分算子的一些性质 |
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| 引用本文： | 杨贺菊,乔玉英,黄沙. Clifford分析中Cauchy型奇异积分算子的一些性质[J]. 数学研究及应用, 2012, 32(2): 189-200 |
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| 作者姓名： | 杨贺菊 乔玉英 黄沙 |
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| 作者单位： | 河北师范大学数学与信息科学学院, 河北 石家庄 050016; 河北科技大学理学院, 河北 石家庄 050018;河北师范大学数学与信息科学学院, 河北 石家庄 050016;河北师范大学数学与信息科学学院, 河北 石家庄 050016 |
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| 基金项目： | 国家自然科学基金(Grant No.10801043),河北省自然科学基金(Grant No.A2010000346),河北科技大学校立基金(Grant No.QD201028). |
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| 摘 要： | First,we give a module estimation of the singular integral with a differential element.Then by proving the existences of Cauchy principal value we obtain the transformation formula of the Cauchy-type singular integrals with a parameter.
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| 关 键 词： | Clifford analysis Cauchy principal value Cauchy-type singular integral with a parameter transformation formula. |
| 收稿时间： | 2010-06-23 |
| 修稿时间： | 2011-08-31 |
Some Properties of Cauchy-Type Singular Integrals in Clifford Analysis |
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| Heju YANG,Yuying QIAO and Sha HUANG. Some Properties of Cauchy-Type Singular Integrals in Clifford Analysis[J]. Journal of Mathematical Research with Applications, 2012, 32(2): 189-200 |
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| Authors: | Heju YANG Yuying QIAO Sha HUANG |
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| Affiliation: | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China; College of Science, Hebei University of Science and Technology, Hebei 050018, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China |
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| Abstract: | First, we give a module estimation of the singular integral with a differential element. Then by proving the existences of Cauchy principal value we obtain the transformation formula of the Cauchy-type singular integrals with a parameter. |
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| Keywords: | Clifford analysis Cauchy principal value Cauchy-type singular integral with a parameter transformation formula. |
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