Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-23T18:01:00.317Z Has data issue: false hasContentIssue false
  • English
  • Français

Distortion Theorems for Diffeomorphisms

Published online by Cambridge University Press:  20 November 2018

W. Hengartner  and
D. Poulin
W. Hengartner
Affiliation:
Département de Mathématiques Université Laval Québec, RQ. G1K 7P4
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Generalizations of the Koebe distortion theorem to a class of diffeomorphisms are given. They are applied to univalent harmonic mappings.

Keywords

Primary: 30C55secondary: 31A05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 3 , 01 September 1994 , pp. 351 - 360
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Bers, L., Theory of pseudo-analytic functions, Lecture Notes (mimeographed), New York University, 1953; An outline of the theory of pseudo-analytic functions, Bull. Amer. Math. Soc. 62(1956).Google Scholar
2. Clunie, J. and Sheil-Small, T., Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9(1984), 3–25.Google Scholar
3. Kim, S.-A. and Minda, D., Two-point distortion theorems for univalent functions, preprint.Google Scholar
4. Lehto, O. and Virtanen, K. I., Quasiconformal mappings in the plane, Springer-Verlag, Berlin, Heidelberg, New York, 1973.Google Scholar