多圆柱区域上解析函数的Riemann—Hilbert边值问题

RIEMANN--HILBERT BOUNDARY VALUE PROBLEM FOR ANALYTIC FUNCTION IN SEVERAL BICYLINDER DOMAIN

利用多复变函数的理论,证明多复变解析函数在多圆柱区域上标准形式的Riemann—Hibert边值问题可解的充要条件,并给出解的表示式,并利用解析变换,导出多复变解析函数的一般Riemann—Hilbert边值问题的可解性。

In this paper,by using the theory of several variable functions,we have given the necessary and sufficient condition on solvability and established expression of solutions of standard Riemann-Hilbert boundary value problems for analytic functions of several complex variables in a several bicylinder domain.Through transformation of analytic function,we have got solvability of general Riemann-Hilbert boundary value problems for analytic functions of several complex veriables.