全纯函数的RiemannHilbert边值问题  

Riemann Hilbert Boundary Value Problem for Holomorphic Functions

作　　者：王莉萍[1] 

机构地区：[1]青岛海洋大学数学系,青岛266003

出　　处：《青岛海洋大学学报（自然科学版）》1999年第4期739-744,共6页Journal of Ocean University of Qingdao

摘　　要：讨论了多圆柱区域上边界仅为Ｈｏｌｄｅｒ连续函数时的全纯函数的Ｒｉｅｍ ａｎｎＨｉｌｂｅｒｔ边值问题。借助于多复变函数的理论。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 边值问题 多圆柱区域 R-H边值问题 

分 类 号：O174.56[理学—数学]