The Schwarz-Pick lemma of high order in several variables

Shaoyu Dai; Huaihui Chen; Yifei Pan

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arXiv · 1109.2791

The Schwarz-Pick lemma of high order in several variables

Shaoyu Dai·Huaihui Chen·Yifei Pan

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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.

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Shaoyu Dai, Huaihui Chen, Yifei Pan. 2011-09-13. The Schwarz-Pick lemma of high order in several variables. https://arxiv.org/abs/1109.2791

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