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

  • RICHARD FOURNIER (a1) and STEPHAN RUSCHEWEYH (a2)
    • Published online: 01 March 2001
Abstract

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

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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.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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