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1. The Schwarz-Pick lemma of high order in several variables

Author

Dai, Shaoyu, Chen, Huaihui, and Pan, Yifei

Subjects
Mathematics - Complex Variables
Abstract

We prove a high order Schwarz-Pick lemma for mappings between unit balls in complex spaces in terms of the Bergman metric. From this lemma, Schwarz-Pick estimates for partial derivatives of arbitrary order of mappings are deduced.

Published
2011

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