Boundary properties of holomorphic functions in the ball of \({\mathbb{C}}^ n\)

DOI10.1007/BF01456984zbMath0622.32002MaRDI QIDQ1090811

Nessim Sibony, Monique Hakim

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164219

zbMATH Keywords

analytic function in the unit ballpseudoconvex, starshaped domainsradial cluster sets

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Other generalizations of function theory of one complex variable (32A30) Cluster sets, prime ends, boundary behavior (30D40)

Related Items

On the radial cluster sets for holomorphic functions in the unit ball of \({\mathbb{C}}^ n\) ⋮ Limites radiales de fonctions holomorphes dans la boule unité de \({\mathbb{C}}^ n\). (On radial limits of functions holomorphic in the unit ball of \({\mathbb{C}}^ n)\) ⋮ Radial limits of holomorphic functions in \(\mathbb{C}^n\) or the polydisc ⋮ Uniqueness properties of Hardy space functions ⋮ Radial limit zero sets of holomorphic functions on the ball ⋮ Extension à la dimension n d'un théorème de Ortel et Schneider. (Extension of a theorem of Ortel and Schneider to n dimensions) ⋮ A residual radial limit zero set ⋮ Wild boundary behaviour of homomorphic functions in domains of C^N ⋮ Approximation by holomorphic functions of several complex variables

Cites Work

• Unnamed Item
• On the linear and angular cluster sets of functions meromorphic in the unit circle
• Some boundary properties of analytic functions