摘要
本文从几何函数论的观点研究了一类复值调和典则实函数，在某些假定之下形成了类Ｔ＿Ｈ和它的子类Ｔ￣０＿Ｈ，并给出了Ｔ＿Ｈ和Ｔ￣０＿Ｈ的闭凸壳ＨＴ＿Ｈ和ＨＴ￣０＿Ｈ文中证明了Ｔ＿Ｈ是正规的，Ｔ￣０＿Ｈ是紧的。Ｔ￣０＿Ｈ与ＨＴ￣０＿Ｈ中的函数可用积分公式表示。
In this paper a class of complex-valued harmonic typically-real functions is studied from the piont of view of geometric function theory.With some assumptions added the class T_H and its subclass are formed.Also the closed convex hull of T_H and are given and denoted by HT_H and HT. We have proved that T_H is normal and is compact.And functions in and HT can be represellted by integral formulae.
出处
《数学进展》
CSCD
北大核心
1995年第6期550-555,共6页
Advances in Mathematics（China）
