Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc
Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc作者机构:1. Department of Mathematics Zhejiang Normal University Jinhua 321004 China2. Department of Mathematics Tongji University Shanghai 200092 China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2010年第53卷第4期
页 面:1017-1024页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China (GrantNos.10871145,10926066) Doctoral Program Foundation of the Ministry of Education of China (Grant No.20090072110053)
主 题:Schwarz-Pick estimate holomorphic function Taylor expansion
摘 要:We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on unit disk in C.