The Schwarz-Pick lemma of high order in several variables

Details The Schwarz-Pick lemma of high order in several variables The Schwarz-Pick lemma of high order in several variables

2011-09-13

arxiv.org/abs/1109.2791v1

Mathematics

Complex Variables

Scientific paper

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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