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

Kubota, Yoshihisa

doi:10.1090/S0002-9939-1982-0647899-0

A note on holomorphic imbeddings of the classical Cartan domains into the unit ball
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Proc. Amer. Math. Soc. 85 (1982), 65-68 Request permission

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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