| On a Generalized Dirichlet Problem for Analytic Family |
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| 作者姓名： | 陈叔瑾 谢永行 |
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| 作者单位： | Department af Mathematics，Xiamen University，Xiamen，Fujian，361005，Department af Mathematics，Xiamen University，Xiamen，Fujian，361005 |
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| 摘 要： | In this paper, we give the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron in Cn, and get a necessary and sufficient condition for a generalized Dirichlet problem to be solvable for an analytic family on a bounded holomorphic domain. Especially, we derive that this condition is just that the continuous real boundary value is prescribed on and only on the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron.
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On a Generalized Dirichlet Problem for Analytic Family |
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| Chen Shujin Xie Yongxing.On a Generalized Dirichlet Problem for Analytic Family[J].Northeastern Mathematical Journal,1997(3). |
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| Authors: | Chen Shujin Xie Yongxing |
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| Abstract: | In this paper, we give the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron in Cn, and get a necessary and sufficient condition for a generalized Dirichlet problem to be solvable for an analytic family on a bounded holomorphic domain. Especially, we derive that this condition is just that the continuous real boundary value is prescribed on and only on the Silov boundary for an analytic family on a bounded strictly pseudoconvex domain or an analytic polyhedron. |
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| Keywords: | Analytic Family Generalized Dlrichlet Problem Silov Boundary |
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