多复变全纯函数族正规准则  

Normal Families of Holomorphic Mappings of Several Complex Variables Into P^1(C)

作　　者：张莎莎[1] 涂振汉[2] 

机构地区：[1]湖北大学数学与计算机科学学院,武汉430072 [2]武汉大学数学与统计学院,武汉430072

出　　处：《数学学报（中文版）》2010年第6期1045-1050,共6页Acta Mathematica Sinica：Chinese Series

摘　　要：在单复变中,可以由Zalcman-Pang引理证明与微分多项式有关的正规准则.本文通过推广单复变的Zalcman-Pang引理至多复变函数情形,证明了一类与多复变全纯函数偏导数取值情况相关的多复变正规准则.The famous Zalcman-Pang lemma deduces many normality criteria for family of holomorphic functions related with differential polynomials of one complex variable.In this paper,we extend the Zalcman-Pang lemma to the case of high dimension and obtain the normality criteria for family of holomorphic functions of several complex variables related with partial derevatives.

关 键 词：正规族 多复变全纯函数 Bloch原理 

分 类 号：O174.56[理学—数学]