关于向量值函数柯西型积分的边值问题

The boundary value of vector-valued Cauchy type integrals

本文就向量值函数柯西型积分的边值问题进行了探讨 ,证明了在边界为光滑曲线的域上正则的向量值函数柯西型积分的存在性 ,并建立了向量值函数在正则条件下的 Plemelj公式。

In this paper,the boundary value problem of vector valued Cauchy type integrals is discussed.The existence of the vector valued Cauchy type integrals for the regular functions is proved and the plemelj formula of vector valued functions are established.