Acta mathematica scientia, Series B >
SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS
Received date: 2009-08-25
Revised date: 2010-02-26
Online 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).
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
LIU Xiang , CHEN Zhi-Hua . SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1377 -1382 . DOI: 10.1016/S0252-9602(11)60324-X
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