Montel-Type Theorems in Several Complex Variables with Continuously Moving Targets

作     者：Zhenhan TU Shasha ZHANG Zhenhan TU Shasha ZHANG Department of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.

作者机构：Department of Mathematics and Statistics Wuhan University Wuhan 430072 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第3期

页      面：373-384页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China (No. 10971156) the Department of Mathematics, HKUST and Fields Institute for kind hospitality and support while part of the work on this paper took place 

主　　题：Holomorphic mappings Normal families Picard-type theorems Valuedistribution theory 

摘      要：The authors introduce a new idea related to Montel-type theorems in higher dimension and prove some Montel-type criteria for normal families of holomorphic mappings and normal holomorphic mappings of several complex variables into PN(C) for continuously moving hyperplanes in pointwise general position. The main results are also true for continuously moving hypersurfaces in pointwise general position. Examples are given to show the sharpness of the results.