On a Multi-Point Schwarz-Pick Lemma

被引：7
|
作者：
Cho, Kyung Hyun [1 ]
Kim, Seong-A [2 ]
Sugawa, Toshiyuki [3 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Phys, Pohang 790784, Kyungbuk, South Korea
[2] Dongguk Univ, Dept Math Educ, Gyeongju 780714, Kyungbuk, South Korea
[3] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2012年 / 12卷 / 02期
关键词：
Schwarz-Pick Lemma; Schur algorithm; Nevanlinna-Pick interpolation; Peschl's invariant derivative; Dieudonne's Lemma; INEQUALITY;
D O I：
10.1007/BF03321839
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：483 / 499
页数：17
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