Univalence of holomorphic mappings

Robert Molzon and Karen Pinney Mortensen

Vol. 180 (1997), No. 1, 125–133

DOI: 10.2140/pjm.1997.180.125

Abstract

Univalence of holomorphic mappings is studied via two differential operators naturally associated with the mapping. The first operator is invariant under composition on the left with a projective linear mapping and the second operator is invariant under composition with holomorphic Euclidean transformations. The methods used are analogous to methods used by Osgood and Stowe in the case of conformal mappings.

Milestones

Received: 30 August 1994

Revised: 20 December 1994

Published: 1 September 1997