Bounded Holomorphic Functions on Bounded Symmetric Domains

DOI10.2307/2154525zbMath0804.32018OpenAlexW4234073004MaRDI QIDQ4300927

Joel M. Cohen, Flavia Colonna

Publication date: 12 July 1994

Full work available at URL: https://doi.org/10.2307/2154525

zbMATH Keywords

Bloch constantCartan domainsbounded symmetric domainsextremal holomorphic functions

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Holomorphic functions of several complex variables (32A10)

Related Items (6)

Bloch constants of bounded symmetric domains ⋮ Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of a bounded homogeneous domain ⋮ Weighted composition operators from Banach spaces of holomorphic functions to weighted-type Banach spaces on the unit ball in \(\mathbb{C}^n\) ⋮ On the isometric composition operators on the Bloch space in \(\mathbb C^n\) ⋮ Multiplication operators on the Bloch space of bounded homogeneous domains

Cites Work

• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Bloch Functions in Several Complex Variables, I
• The Bloch Constant of Bounded Analytic Functions
• Bloch functions in several complex variables. II.
• Exceptional Lie algebras and the structure of Hermitian symmetric spaces
• Holomorphic Mappings of the Hyperbolic Space into the Complex Euclidean Space and the Bloch Theorem
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