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| 调和典则实映照 | |
| 引用本文： | 张顺燕 宫贵福. 调和典则实映照[J]. 数学进展, 1995, 24(6): 550-555 |
| 作者姓名： | 张顺燕 宫贵福 |
| 作者单位： | 北京大学数学系，黑龙江大学数学系 |
| 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。 |
| 关 键 词： | 调和典则实映照 复值函数 几何函数论 |
Harmonic Typically-Real Mappings |
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| zhang Shunyan. Harmonic Typically-Real Mappings[J]. Advances in Mathematics(China), 1995, 24(6): 550-555 | |
| Authors: | zhang Shunyan |
| Abstract: | 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. |
| Keywords: | harmonic typically-real mappings normal compact |
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