Vol. 194, No. 2, 2000

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Starlike mappings on bounded balanced domains with C1-plurisubharmonic defining functions

Hidetaka Hamada

Vol. 194 (2000), No. 2, 359–371
Abstract

Let D be a bounded balanced domain with C1 plurisubharmonic defining functions in Cn. First, we give a necessary and sufficient condition that a locally biholomorphic mapping from D to Cn is starlike. Next, we give a growth theorem for normalized starlike mappings on D. We also give a quasiconformal extension of some strongly starlike mapping on D.

Milestones
Received: 22 April 1997
Published: 1 June 2000
Authors
Hidetaka Hamada
Kyushu Kyoritsu University
1-8, Jiyugaoka, Yahatanishi-ku
Kitakyushu 807-8585
Japan