C^n中多圆柱体的Riemann-Hilbert边值问题

ON RIEMANN-HILBERT BOUNDARY VALUE PROBLEM OF POLYDISK IN C^n

本文研究了利用Poission核求解Cn(1≤n≤2)中单位多圆柱体上Riemann-Hilbert边值问题.同时,给出了其解的表达式和可解条件,并将原来求解空间从解析函数空间推广到亚纯函数空间.

By using Poission kernel this paper discusses to solve the Riemann-Hilbert boundary value problem of polydisk in C^n （1≤n≤2）. Meanwhile, the solutions to the problem and solvability conditions are obtained, and we extend the solution space from analytic function space into the meromorphic function space.