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Proceedings of the American Mathematical Society

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A note on holomorphic imbeddings of the classical Cartan domains into the unit ball


Author: Yoshihisa Kubota
Journal: Proc. Amer. Math. Soc. 85 (1982), 65-68
MSC: Primary 32H99
DOI: https://doi.org/10.1090/S0002-9939-1982-0647899-0
MathSciNet review: 647899
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Abstract: Let $ D$ be a classical Cartan domain and let $ B$ be the unit ball. $ {\text{We}}$ find the exact value of the supremum of the set of positive numbers $ \rho $ satisfying the condition: $ \rho B \subset f(D)$ for a certain holomorphic imbedding$ f:D \to B$.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0647899-0
Keywords: Classical Cartan domain, holomorphic imbedding, bounded homogeneous domain, biholomorphic mapping
Article copyright: © Copyright 1982 American Mathematical Society