Finitely generated ideals in \(A(\Omega)\)

DOI10.5802/aif.916zbMath0489.32013OpenAlexW2330150305MaRDI QIDQ1166684

John-Erik Fornaess, Nils Øvrelid

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_2_77_0

zbMATH Keywords

stratificationGleason problemweakly pseudoconvex boundary pointsdelta problemreal analytic pseudoconvex domains

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Algebras of holomorphic functions of several complex variables (32A38) Plurisubharmonic functions and generalizations (32U05) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

On functional analytic approach for Gleason's problem in the theory of SCV, Local peak sets in weakly pseudoconvex boundaries in \(\mathbb C^{n}\), Peak curves in weakly pseudoconvex boundaries in \(\mathbb{C}^2\), Unnamed Item, Unnamed Item, An equivalence to the Gleason problem, Proper holomorphic maps from weakly pseudoconvex domains, Cohomology vanishing theorem and finitely generated ideals in certain function algebras

Cites Work

• Hölder estimates for the (partial d) equation with a support condition
• Pseudoconvex domains: Existence of Stein neighborhoods
• The Mergelyan property for weakly pseudoconvex domains
• Finitely generated ideals in certain function algebras
• The Cauchy-Riemann differential equations on strongly pseudo-convex domains. Continuous boundary values.
• Generators of the maximal ideals of \(A(\bar{D})\)
• A pseudo-convex domain not admitting a holomorphic support function
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
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