The Schwarz-Pick lemma of high order in several variables
Complex Variables
2011-09-14 v1
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.
Keywords
Cite
@article{arxiv.1109.2791,
title = {The Schwarz-Pick lemma of high order in several variables},
author = {Shaoyu Dai and Huaihui Chen and Yifei Pan},
journal= {arXiv preprint arXiv:1109.2791},
year = {2011}
}