Higher-Order Schwarz-Pick Estimates for Holomorphic Self-mappings on Classical Domains

• 作 者: Yang LIU Zhihua CHEN
• 机 构: Department of Mathematics
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2004年期
• 关键词: Schwarz-Pick estimate Holomorphic self-mapping Classical domain Holomorphic expa
• 基金项目: Project supported by the National Natural Science Foundation of China;the Doctoral Program Foundation of the Ministry of Education of China;the Zhejiang Provincial Natural Science Foundation of China

In this paper,Schwarz-Pick estimates for high order Fréchet derivatives of holomorphic self-mappings on classical domains are presented.Moreover,the obtained result can deduce the early work on Schwarz-Pick estimates of higher-order partial derivatives for bounded holomorphic functions on classical domains.