On a multi-point Schwarz-Pick lemma

2011/02/02 by Kyung Hyun Cho, Cho, Kyung Hyun, Seong-A Kim +3
Mathematics · #53A35 #Complex Variables (math.CV) #FOS: Mathematics #Primary 30C80 #Secondary 30F45 #math.CV #msc:30C80 #msc:30F45 #msc:53A35

paper · pdf · doi:10.48550/arxiv.1102.0337

14 pages

arxiv created 2011/02/02 · arxiv updated 2011/02/03

Abstract

We consider the multi-point Schwarz-Pick lemma and its associate functions due to Beardon-Minda and Baribeau-Rivard-Wegert. Basic properties of the associate functions are summarized. Then we observe that special cases of the multi-point Schwarz-Pick lemma give Schur's continued fraction algorithm and several inequalities for bounded analytic functions on the unit disk.

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