On families of meromorphic maps into the complex projective space
On families of meromorphic maps into the complex projective space
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DOI：
10.1017/s0027763000024570
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发表时间：
1974-07
影响因子：
0.8
通讯作者：
H. Fujimoto
中科院分区：
文献类型：
--
作者：
H. Fujimoto
在[10]中，P. Montel 定义了亚纯函数拟正规族的概念，并获得了与此相关的几个结果。随后，在[13]中，H. Rutishauser 将其中一些推广到了多个变量的亚纯函数的情况。根据定义，Cn 中域 D 上的拟正规亚纯函数族是这样一个族，使得 中的任何序列都具有紧收敛于 D 的薄解析子集之外的子序列。
In [10], P. Montel defined the notion of a quasinormal family of meromorphic functions and obtained several results relating to this. Afterwards, in [13], H. Rutishauser generalized some of them to the case of meromorphic functions of several variables. By definition, a quasi-normal family of meromorphic functions on a domain D in Cn is a family such that any sequence in has a subsequence which converges compactly outside a thin analytic subset of D.