Hilbert空间中的亚纯单叶算子函数

MEROMORPHIC UNIVALENT OPERATOR FUNCTIONS ON HILBERT SPACES

引入了Ｈｉｌｂｅｒｔ空间中的亚纯单叶算子函数族Ｓ（α，β，ｐ；Ａ）和Ｓ（α，β，ｐ，ｒ；Ａ）．得到了函数族的系数不等式，并证明了在算术平均值和凸线性组合下函数族Ｓ（α，β，ｐ，ｒ；Ａ）是闭的．

We introduce the classes S(α,β,p ;A) and S(α,β,p,r;A) of meromorphic univalentoperator functions on Hilbert spaces.We obtain coefficient inequalities for the classes and howthat the class S (α,β,P,r;A) is closed under arithmetic means and convex linear combinations.