Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball |
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| Authors: | Yang Liu Zhihua Chen |
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| Institution: | a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
b Department of Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper, Schwarz-Pick estimates of arbitrary order partial derivatives for holomorphic mappings from the polydisk to the unit ball are presented. We generalize the early work on Schwarz-Pick estimates of higher order derivatives for bounded holomorphic functions on the unit disk and the polydisk. |
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| Keywords: | Schwarz-Pick estimate Holomorphic mapping Polydisk Unit ball |
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