ON THE VALIRON＇S THEOREM IN THE POLYDISK

• 作 者: 王刚 邓方文
• 机 构: WuhanInstituteofPhysicsandMathematics,UniversityofChineseAcademyofSciences
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年1期
• 关键词: 多圆盘 定理 全纯映射 Valiron＇s theorem Julia-Wolff-Caratheodory polydisk
• 基金项目: Supported by the National Natural Science Foundation of China （11271359）.

In this paper, we discuss the Valiron’s theorem in the unit polydisk DN. We prove that for a holomorphic map φ : DN→ DNsatisfying some regular conditions, there exists a holomorphic map θ : DN→ H and a constant α > 0 such that θoφ =1/aθ.It is based on