CAJ | 학술논문

文章主要研究了上半平面内正则函数的一类Hilbert边值问题。首先给出了上半平面内正则函数的一类新的Hilbert边值问题的提法，然后通过把Hilbert边值问题转化为Riemann边值问题的方法，得到了上半平面内正则函数的Hilbert边值问题的唯一解。
문장주요연구료상반평면내정칙함수적일류Hilbert변치문제。수선급출료상반평면내정칙함수적일류신적Hilbert변치문제적제법，연후통과파Hilbert변치문제전화위Riemann변치문제적방법，득도료상반평면내정칙함수적Hilbert변치문제적유일해。
In this article,t he Hilbert Boundary Value Problem for regular functions in the poincare half plane is considered. Firstly,a new kind of Hilbert Boundary Value Problem for regular functions in the poincare half plane is proposed and by translating the Hilbert Boundary Value Problem into Riemann Boundary Value Problem,the unique solution for Hilbert boundary value problem for regular functions in the poincare half plane is obtained.