Uniform approximation of holomorphic functions on bounded Hartogs domains in \({\mathbb{C}}^ 2\)

DOI10.1007/BF01163610zbMath0581.32021OpenAlexW2017803771MaRDI QIDQ1068259

David E. Barrett, John-Erik Fornaess

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173657

zbMATH Keywords

bounded pseudoconvex Hartogs domain

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items

Duality and approximation of Bergman spaces ⋮ Complete Hartogs domains in \({\mathbb{C}}^ 2\) have regular Bergman and Szegö projections ⋮ Exact regularity of the Bergman and the Szegö projections on domains with partially transverse symmetries ⋮ Behavior of the Bergman projection on the Diederich-Fornæss worm ⋮ Regularity of canonical operators and Nebenhülle: Hartogs domains

Cites Work

• Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
• Subalgebras of functions on a Riemann surface
• Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)
• Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
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