| Some Properties of Cauchy-Type Singular Integrals in Clifford Analysis |
| Received:June 23, 2010 Revised:August 31, 2011 |
| Key Words:
Clifford analysis Cauchy principal value Cauchy-type singular integral with a parameter transformation formula.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10801043), the Natural Science Foundation of Hebei Province (Grant No.A2010000346) and the Foundation of Hebei University of Science and Technology (Grant No.QD201028). |
| Author Name | Affiliation | | Heju YANG | 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 | | Yuying QIAO | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, P. R. China | | Sha HUANG | 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2012.02.007 |
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