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

Authors
Fournier, R Ruscheweyh, S
Citation
R. Fournier et S. Ruscheweyh, A generalization of the Schwarz-Caratheodory reflection principle and spaces of pseudo-metrics, MATH PROC C, 130, 2001, pp. 353-364
Citations number
11
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
ISSN journal
03050041 → ACNP
Volume
130
Year of publication
2001
Part
2
Pages
353 - 364
Database
ISI
SICI code
0305-0041(200103)130:<353:AGOTSR>2.0.ZU;2-3
Abstract
We generalize the Caratheodory version of the Schwarz reflection principle for pseudo-metrics w*(z):= \w ' (z)\ /1- \w(z)\ (2)' where w is analytic in some domain of the complex plane, \w \ < 1 and use a unit disk version of the new result to study certain homeomorphisms of the unit hall in H(D) onto itself.