On a theorem of F. Forelli and a result of Hartogs

DOI10.1080/17476933.2017.1345890zbMath1387.32003OpenAlexW2734891152MaRDI QIDQ5374210

Steven G. Krantz

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1345890

zbMATH Keywords

foliationholomorphicdirectionally holomorphic

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Power series, series of functions of several complex variables (32A05) Holomorphic functions of several complex variables (32A10) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (4)

Unnamed Item ⋮ Localization of Forelli's theorem ⋮ On Shimoda's Theorem ⋮ Functions holomorphic along a \(C^1\) pencil of holomorphic discs

Cites Work

• On the generalization of Forelli's theorem
• Lipschitz spaces, smoothness of functions, and approximation theory
• A generalization of Forelli's theorem
• Functions holomorphic along holomorphic vector fields
• Variations of Hartogs' theorem
• Pluriharmonicity in terms of harmonic slices.
• Differentiability of a Function and of its Compositions with Functions of One Variable.
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