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 

出　　处：《Science China Mathematics》2010年第4期1017-1024,共8页中国科学：数学（英文版）

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)

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.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.

关 键 词：Schwarz-Pick ESTIMATE HOLOMORPHIC function TAYLOR expansion 

分 类 号：O174.52[理学—数学]