Applications of subordination chains to starlike mappings in ℂⁿ

Martin Chuaqui

Vol. 168 (1995), No. 1, 33–48

DOI: 10.2140/pjm.1995.168.33

Abstract

We use the work of Pfaltzgraff on subordination chains in ℂⁿ to recover a growth theorem for starlike mappings of the unit ball established recently by Barnard, FitzGerald and Gong. We also introduce a class of strongly starlike maps for which we construct, aided by the aforementioned technique, an explicit quasiconformal extension to ℂⁿ. Several examples are discussed at the end.

Mathematical Subject Classification 2000

Primary: 32H02

Secondary: 30C45, 30C65, 32A30

Milestones

Received: 26 August 1992

Published: 1 March 1995