| Stein流形上(p,q)型Koppelman-Leray-Norguet公式 |
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| 引用本文： | 邱春晖.Stein流形上(p,q)型Koppelman-Leray-Norguet公式[J].数学研究及应用,1991,11(4):611-618. |
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| 作者姓名： | 邱春晖 |
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| 作者单位： | 厦门大学数学系 |
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| 基金项目： | National Natural Science Foundation |
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| 摘 要： | 设M是复n维Stein流形;并设开集D??M具有逐块C1边界.本文利用陈度量和陈联络,把Stein流形上(0,q)形式的Koppelman-Leray-Norguet公式推广到(p,q)形式,并得到D上?-方程的解.最后,还给出了Stein流形上实非退化强拟凸多面体的Koppelman-Leray-Norguet公式及其?-方程的解.
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| 收稿时间： | 1989/12/31 0:00:00 |
The Koppelman-Leray- Norguet formula of type (p,q) on Stein manifolds |
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| Qiu Chunhui.The Koppelman-Leray- Norguet formula of type (p,q) on Stein manifolds[J].Journal of Mathematical Research with Applications,1991,11(4):611-618. |
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| Authors: | Qiu Chunhui |
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| Institution: | Dept. Math.; Xiamen Univ.; Xiamen |
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| Abstract: | Let M be a Stein manifold of complex dimension n,and let an open set D??M have a piecewise C1-boundary. Using Chern metric and connection, we obtain an integral representation of (p, q) differential forms on D, which is a generali-zation of the Koppelman-Leray-Norgeut formula for (0,q)-forms on Stein mani-folds. A integral formula for solving the ?-equation on D is also obtained. Finally, a formula for real non-degenerate strictly pseudoconvex polyhedron is given . |
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