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A Condition for Univalence in the Polydisk

A Condition for Univalence in the Polydisk We study a sufficient condition for univalence in the polydisk in terms of the size of the norm of the Schwarzian operator. Examples show that our result is close to optimal in dimension two. This paper extends work by the second author concerning similar criteria in the ball. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

A Condition for Univalence in the Polydisk

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321739
Publisher site
See Article on Publisher Site

Abstract

We study a sufficient condition for univalence in the polydisk in terms of the size of the norm of the Schwarzian operator. Examples show that our result is close to optimal in dimension two. This paper extends work by the second author concerning similar criteria in the ball.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Dec 15, 2008

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