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| Higher-Order Schwarz-Pick Estimates for Holomorphic Self-mappings on Classical Domains |
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Citation： |
Yang LIU,Zhihua CHEN.Higher-Order Schwarz-Pick Estimates for Holomorphic Self-mappings on Classical Domains[J].Chinese Annals of Mathematics B,2012,33(4):601~608 |
| Page view： 1865
Net amount： 1270 |
Authors： |
Yang LIU; Zhihua CHEN; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11171255, 11101373),
the Doctoral Program Foundation of the Ministry of Education of China (No. 20090072110053), the
Zhejiang Provincial Natural Science Foundation of China (No. Y6100007) and the Zhejiang Innovation
Project (No. T200905). |
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| Abstract： |
In this paper, Schwarz-Pick estimates for high order Fr echet derivatives of holo-morphic self-mappings on classical domains are presented. Moreover, the obtained result can deduce the early work on Schwarz-Pick estimates of higher-order partial derivatives for bounded holomorphic functions on classical domains. |
Keywords： |
Schwarz-Pick estimate, Holomorphic self-mapping, Classical domain,Holomorphic expansion |
Classification： |
30H05, 32A05 |
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