希尔伯特空间中一类算子值解析函数族

A SUBCLASS OF OPERATOR-VALUED ANALYTIC FUNCTIONS ON HILBERT SPACE

讨论了一类具有负算子系数的算子值解析函数族．给出了一个算子值解析函数ｆ（ｚ）属于Ｓｐ（α，β，γ）的充分必要条件及系数估计，并证明了一个畸变定理。

in this paper, we discuss a subclass of operator-valued analytic functions with negative operator coefficients.We give a necessary and sufficient condition,coefficient estimates andprove a distortion theorem for the subclass Sp (α,β,γ) of operator-value analyic functions.