| Stein流形上Bochner-Martinelli型积分的导数的Plemelj公式 |
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| 引用本文： | 陈吕萍.Stein流形上Bochner-Martinelli型积分的导数的Plemelj公式[J].数学学报,2008,51(3):549-558. |
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| 作者姓名： | 陈吕萍 |
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| 作者单位： | 厦门大学数学科学学院 厦门 361005 |
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| 摘 要： | 运用局部化方法和双全纯映射,通过Stein流形和C~n空间中Bochner-Martinelli核的联系,借助已获得的C~n空间中导数的Plemelj公式,得到Stein流形上导数的Plemelj公式.
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| 关 键 词： | Stein流形 Bochner-Martinelli积分 奇异积分 导数的Plemelj公式 |
| 收稿时间： | 2007-6-7 |
Plemelj Formulas for Derivatives of Bochner-Martinelli Integral on Stein Manifolds |
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| Institution: | LüPing CHEN School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China |
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| Abstract: | The author uses the techniques of localization and biholomorphic maps,uti- lizes the relation between Bochner-Martinelli kernel on Stein manifolds and Bochner- Martinelli kernel in Cn,introduces Plemelj formulas of singular integrals and Plemelj formulas for derivatives of Bochner-Martinelli integrals in C~n which shown in papers 7,8],and obtains the Plemelj formulas for derivatives of Bochner-Martinelli integrals on Stein manifolds. |
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| Keywords: | Stein manifolds Bochner-Martinelli integrals singular integrals Plemelj formulas for derivatives |
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