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.
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The authors were partially supported by Fondecyt Grants #1071019 and #11070055.
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Chuaqui, M., Hernández, R. A Condition for Univalence in the Polydisk. Comput. Methods Funct. Theory 9, 443–454 (2009). https://doi.org/10.1007/BF03321739
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DOI: https://doi.org/10.1007/BF03321739