Higher-Order Schwarz-Pick Estimates for Holomorphic Self-mappings on Classical Domains |
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| Authors: | Yang LIU and Zhihua CHEN |
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| Affiliation: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
2. Department of Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper, Schwarz-Pick estimates for high order Fréchet derivatives of holomorphic 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. |
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| Keywords: | Schwarz-Pick estimate Holomorphic self-mapping Classical domain Holomorphic expansion |
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