调和典则实映照  

Harmonic Typically-Real Mappings

作　　者：张顺燕[1] 宫贵福 

机构地区：[1]北京大学数学系,黑龙江大学数学系

出　　处：《数学进展》1995年第6期550-555,共6页Advances in Mathematics（China）

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.

关 键 词：调和典则实映照 复值函数 几何函数论 

分 类 号：O174.5[理学—数学]