Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2012; 49(1): 11-24

Printed January 1, 2012

https://doi.org/10.4134/BKMS.2012.49.1.11

Copyright © The Korean Mathematical Society.

Inner uniform domains, the quasihyperbolic metric and weak Bloch functions

Ki Won Kim

Silla University

Abstract

We characterize the class of inner uniform domains in terms of the quasihyperbolic metric and the quasihyperbolic geodesic. We also characterize uniform domains and inner uniform domains in terms of weak Bloch functions.

Keywords: inner uniform domains, the quasihyperbolic metric and weak Bloch functions

MSC numbers: 30C65, 30H30

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