| C~n中具有逐块光滑边界的有界域上带权因子积分表示的拓广式 |
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| 引用本文： | 陈吕萍.C~n中具有逐块光滑边界的有界域上带权因子积分表示的拓广式[J].数学学报,2006,49(5):1113-112. |
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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数学与应用数学系 厦门 |
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| 基金项目： | 国家自然科学基金（10271097）;天元基金（10526033）;福建省自然科学基金（Z0511002）资助项目 |
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| 摘 要： | 本文讨论了Cn空间中具有逐块光滑边界的有界域上和强拟凸域上具有拓广的B-M核的(0,q)形式的带权因子的积分表示式,得到了带权因子拓广的Koppelman- Leray-Norguet公式．由此得到了有界域上-方程带权因子的连续解,由于权因子的引入,使得积分公式在应用上(如在函数插值问题的应用)具有更大的灵活性．
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| 关 键 词： | 积分表示 权因子 有界域 拓广式 |
| 文章编号： | 0583-1431（2006）05-1113-08 |
| 收稿时间： | 2004-07-02 |
| 修稿时间： | 2004-07-022005-03-20 |
The Extensional Formula of Weighted Integral Representation on a Bounded Domain with Piecewise Smooth Boundary in C~n |
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| L.The Extensional Formula of Weighted Integral Representation on a Bounded Domain with Piecewise Smooth Boundary in C~n[J].Acta Mathematica Sinica,2006,49(5):1113-112. |
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| Authors: | L |
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| Institution: | L(u|¨) Ping CHEN School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China |
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| Abstract: | In this paper, we obtain an integral representation of extensional Bochner-Martinelli kernel with weight factors of (0, q) differential form on bounded domains and strongly pseudoconvex domain with piecewise smooth boundary in Cn, that is, we obtain an extensional Koppelman-Leray-Norguet formula with weight factors. Then we obtain the weighted continuous solution of (?)-equation on bounded domains. Because of the introduction of weight factors, the applications of integral formula (such as the application of interpolation problem) are much more flexible. |
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| Keywords: | integral representatiom weight factor bounded domain extensional formula |
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