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arXiv:1109.2791 [math.CV]AbstractReferencesReviewsResources

The Schwarz-Pick lemma of high order in several variables

Shaoyu Dai, Huaihui Chen, Yifei Pan

Published 2011-09-13Version 1

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.

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