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Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc 被引量:3

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc
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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.
出处 《Science China Mathematics》 SCIE 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)
关键词 Schwarz-Pick ESTIMATE HOLOMORPHIC function TAYLOR expansion Schwarz-Pick estimate holomorphic function Taylor expansion
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  • 1N. Samaris.On the extreme points of a subclass of holomorphic functions with positive real part[J]. Mathematische Annalen . 1986 (4)
  • 2Rudin W.Function theory in the unit ball of C~n. . 1980
  • 3Anderson, J. M,Dritschel, M. A,Rovnyak, J.Schwarz-Pick inequalitiesfor the Schur-Agler class on the polydisk and unit ball. .
  • 4Boas,H. P.Majorant series. J. Korean Math. Soc . 2000
  • 5Dai S Y,Pan Y F.Note on Schwarz-Pick estimates for bounded and positive real part analytic functions. Proceedings of the American Mathematical Society . 2008
  • 6Landau E.Darstellung und Begrundung Einiger Neuerer Ergebnisse der Funktionen Theorie. . 1916
  • 7Frasin B A.On analytic functions with positive real part. General Math . 2006
  • 8Ghatage P,Zheng D C.Hyperbolic derivatives and generalized Schwarz-Pick estimates. Proceedings of the American Mathematical Society . 2004
  • 9Koranyi,A.,Pukansky,J.Holomorphic functions with positive real part in polycylinder. Transactions of the American Mathematical Society . 1963
  • 10MacCluer,B,Stroethoff,K,Zhao,R.Generalized Schwarz-Pick estimates. Proceedings of the American Mathematical Society . 2002

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