On a multi-point Schwarz-Pick Lemma

Hyun Kyung Cho, Seong A. Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 the Schur's continued fraction algorithm and several inequalities for bounded analytic functions on the unit disk.

Original languageEnglish
Pages (from-to)483-499
Number of pages17
JournalComputational Methods and Function Theory
Volume12
Issue number2
DOIs
Publication statusPublished - 2012

Keywords

  • Dieudonńe's Lemma
  • Nevanlinna-Pick interpolation
  • Peschl's invariant derivative
  • Schur algorithm
  • Schwarz-Pick Lemma

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

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