A strange bounded smooth domain of holomorphy

DOI10.1090/S0002-9904-1976-13964-XzbMath0317.32020OpenAlexW1975662183MaRDI QIDQ4078351

Klas Diederich, John-Erik Fornaess

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1976-13964-x

Mathematics Subject Classification ID

Domains of holomorphy (32D05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99)

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Toeplitz Operators and Related Function Algebras on Certain Pseudoconvex Domains ⋮ Holomorphic Continuation of Smooth Functions Over Levi-Flat Hypersurfaces ⋮ Hausdorff cohomology and Levi form ⋮ Non-closed Range Property for the Cauchy-Riemann Operator ⋮ Certain Contributions to the $$\bar {\partial }$$ -Problem ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Pseudoconvex domains: An example with nontrivial nebenhuelle ⋮ Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions ⋮ Approximation by holomorphic functions on pseudoconvex domains with isolated degeneracies ⋮ The Mergelyan property for weakly pseudoconvex domains ⋮ Holomorphic approximation to boundary value algebras

Cites Work

• Zur Theorie der Singularitäten der Funktionen mehrerer komplexen Veränderlichen. Das Konvergenzproblem der Regularitätshüllen
• A pseudo-convex domain not admitting a holomorphic support function
• Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains

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