Blaschke products and proper holomorphic mappings

Christian Henriksen*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Suppose f : double-struck D sign → V is a proper holomorphic map of the unit disk double-struck D sign ⊂ ℂ onto a subset V ⊂ double-struck D sign of degree d > 0. We show that f is conjugate to either an affine map or a degree d Blaschke product. As an application we give a unified treatment of theorems of Böttcher and Schröder coordinates.

Original languageEnglish
JournalJournal of Geometric Analysis
Volume11
Issue number4
Pages (from-to)624-625
ISSN1050-6926
Publication statusPublished - 2001

Keywords

  • Blaschke products
  • Proper mappings

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