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全纯函数的RiemannHilbert边值问题
Riemann Hilbert Boundary Value Problem for Holomorphic Functions
【摘要】 讨论了多圆柱区域上边界仅为Holder连续函数时的全纯函数的Riem annHilbert边值问题。借助于多复变函数的理论,给出了上述边值问题可解的充要条件及较完整的解的表达式
【Abstract】 We discuss the Riemann Hilbert boundary value problem for holomorphic functions in a several cylinder domain when the boundary is only a Hlder continuous function. By using the theory of functions of several complex variables, we give the ne cessary and sufficient condition for its solvability and establish the expression of its solutions.
【关键词】 全纯函数;
Riemann Hibert边值问题;
多圆柱区域;
【Key words】 holomorphic function; Riemann Hilbert boundary value problem; several bicylinder domain;
【Key words】 holomorphic function; Riemann Hilbert boundary value problem; several bicylinder domain;
- 【文献出处】 青岛海洋大学学报(自然科学版) ,JOURNAL OF OCEAN UNIVERSITY OF QINGDAO , 编辑部邮箱 ,1999年04期
- 【分类号】O174
- 【被引频次】1
- 【下载频次】50