| 圆柱和半平面域拓扑积的Hilbert边值问题 |
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| 引用本文： | 许忠义,林良裕.圆柱和半平面域拓扑积的Hilbert边值问题[J].厦门大学学报(自然科学版),1996(5). |
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| 作者姓名： | 许忠义 林良裕 |
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| 作者单位： | 南昌大学数学与系统科学系，厦门大学数学系 |
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| 基金项目： | 江西省和福建省自然科学基金 |
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| 摘 要： | 讨论了圆柱和半平面域拓扑积的Ｈｉｌｂｅｒｔ边值问题．建立了这个区域的Ｂ－调和函数的边界条件，和解析函数的Ｓｃｈｗａｒｚ积分公式，进而讨论这个区域Ｈｉｌｂｅｒｔ边值问题可解性的条件和解的表达式．
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| 关 键 词： | Hilbert边值问题，B－调和函数，对称扩张，Schwarz积分公式，r－因子化 |
The Hilbert Boundary Value Problem on Topological Product of Cylindrical and Half-Plane Domains |
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| Xu Zhongyi, Lin Liangyu.The Hilbert Boundary Value Problem on Topological Product of Cylindrical and Half-Plane Domains[J].Journal of Xiamen University(Natural Science),1996(5). |
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| Authors: | Xu Zhongyi Lin Liangyu |
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| Abstract: | In this article, the Hilbert boundary value problem on topological product of cylindrical and half-plane domains is discussed. The authors establish boundary condition of Bharmonic functions and obtain Schwarz integral formula of analytic functions,on these domains,by which the condition of solvability and the solution of Hilbert boundary value problem are discussed. |
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| Keywords: | Hilbert boundary value problem B-Harmonic function Symmetrical Expansion Schwarz integral formula r-factorization |
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