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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:LIU Yang 1,& CHEN ZhiHua 2 1 Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China 2 Department of Mathematics,Tongji University,Shanghai 200092,China 

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.

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