Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T01:00:18.050Z Has data issue: false hasContentIssue false
  • English
  • Français

A generalization of the Schwarz–Carathéodory reflection principle and spaces of pseudo-metrics

Published online by Cambridge University Press:  26 March 2001

RICHARD FOURNIER  and
STEPHAN RUSCHEWEYH
RICHARD FOURNIER
Affiliation:
Centre de Recherches de Mathématiques, Université de Montréal, Montréal H3C 3J7, Canada; e-mail: fournier@DMS.UMontreal.CA
STEPHAN RUSCHEWEYH
Affiliation:
Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany; e-mail: ruscheweyh@mathematik.uni-wuerzburg.de
Get access Rights & Permissions [Opens in a new window]

Abstract

We generalize the Carathéodory version of the Schwarz reflection principle for pseudo-metrics

formula here

where w is analytic in some domain of the complex plane, [mid ] w [mid ] < 1 and use a unit disk version of the new result to study certain homeomorphisms of the unit ball in [Hscr ]([ ]) onto itself.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 2 , March 2001 , pp. 353 - 364
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)