具有间断系数的双解析函数Hilbert边值问题

摘要

We liberalize the condition that the coefficients G（t）,g1（t） and g2（t） in the boundary value problem with the bianalytic function Hilbert.So we do not need them to be continuous in the smooth closed curve L.They are only required to have finite type 1 discontinuous points to satisfy the Hlder condition in the curve L.The notion of the boundary value problem with the bianalytic function possessing discontinuous coefficient Hilbert is raised.The method of solving this boundary problem is discussed,then the expression of the solution and theorem of its solvability are obtained.%对双解析函数的Hilbert边值问题中的系数G（t）及g1（t）,g2（t）放宽了条件,不要求它们在光滑闭曲线L上连续,只要求它们在L上具有有限个第一类间断点.提出了双解析函数具有间断系数的Hilbert边值问题的概念,然后讨论了该问题的解法并且给出了解的具体表达式,得到了可解性定理.