A generalization of the Schwarz–Carathéodory reflection principle and spaces of pseudo-metrics
We generalize the Carathéodory version of the Schwarz reflection principle for pseudo-metrics
where w is analytic in some domain of the complex plane, [mid R:] w [mid R:] < 1 and use a unit disk version of the new result to study certain homeomorphisms of the unit ball in [script H]([open face D]) onto itself.(Received June 14 1999)
(Revised January 13 2000)
1 The first author acknowledges support of FCAR (Quebec).