Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (4): 1377-1382.doi: 10.1016/S0252-9602(11)60324-X

• Articles • Previous Articles     Next Articles

SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS

LIU Xiang1, CHEN Zhi-Hua2   

  1. 1.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;2.Department of Mathematics, Tongji University, Shanghai 200092, China
  • Received:2009-08-25 Revised:2010-02-26 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    This work was supported by National Natural Science Foundation of China (10871145; 10926066), Doctoral Program Foundation of the Ministry of Education of China (20090072110053) and Natural Science Foundation of Zhejiang Province (Y6100007).

Abstract:

In this paper, Schwarz-Pick estimates for high order Fr´echet derivatives of bounded holomorphic functions on three kinds of classical domains are presented. We generalize the early work on Schwarz-Pick estimates of higher order partial derivatives for bounded holomorphic functions on the disk and unit ball.

Key words: Schwarz-Pick estimate, holomorphic functions, classical domains

CLC Number: 

  • 32A10
Trendmd