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.
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Communicated by Edward B. Saff.
P. Ebenfelt was partly supported by the NSF Grant DMS-1301282.
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Ebenfelt, P., Huang, L. Uniqueness Results for Extremal Holomorphic Functions in Product Domains. Comput. Methods Funct. Theory 15, 1–8 (2015). https://doi.org/10.1007/s40315-014-0084-9
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DOI: https://doi.org/10.1007/s40315-014-0084-9