A Generalized Area Theorem for Harmonic Functions on Hermitian Hyperbolic Space

DOI10.2307/1996173zbMath0246.31006OpenAlexW4229612501MaRDI QIDQ5658354

Robert Byrne Putz

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996173

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Boundary behavior of harmonic functions in higher dimensions (31B25) Other generalizations of function theory of one complex variable (32A30)

Related Items (2)

Espaces \(H^ p\) au dessus de l'espace hermitien hyperbolique de \(C^ n\) (\(n>1\)). II ⋮ Équation de la chaleur associée à une fonction plurisousharmonique d'exhaustion et comportement frontière

Cites Work

• Unnamed Item
• On the theory of harmonic functions of several variables. II: Behaviour near the boundary
• The Poisson integral for generalized half-planes and bounded symmetric domains
• On the boundary behavior of solutions to a class of elliptic partial differential equations
• A theorem of Lusin. I
• Harmonic Functions on Hermitian Hyperbolic Space
• Boundary values of holomorphic functions
• Boundary behavior of harmonic functions on hermitian hyperbolic space
• On the Behaviour of Harmonic Functions at the Boundary
• On a Theorem of Marcinkiewicz and Zygmund
• A Function-Theoretic Identity

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