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。
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
holomorphic function
Riemann Hilbert boundary value problem
several bicylinder domain
