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Uniqueness Results for Extremal Holomorphic Functions in Product Domains

Uniqueness Results for Extremal Holomorphic Functions in Product Domains In this note, we prove a generalized version of the classical Schwarz Lemma in product domains. This generalization of the Schwarz Lemma to product domains follows from a more general uniqueness result for extremal holomorphic functions in product domains. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Uniqueness Results for Extremal Holomorphic Functions in Product Domains

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0084-9
Publisher site
See Article on Publisher Site

Abstract

In this note, we prove a generalized version of the classical Schwarz Lemma in product domains. This generalization of the Schwarz Lemma to product domains follows from a more general uniqueness result for extremal holomorphic functions in product domains.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Aug 27, 2014

References