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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
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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

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