Some remarks concerning holomorphically convex hulls and envelopes of holomorphy

DOI10.1007/BF02571894zbMath0816.32011OpenAlexW2026369152MaRDI QIDQ1346326

Burglind Jöricke

Publication date: 23 July 1995

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

Full work available at URL: https://eudml.org/doc/174719

zbMATH Keywords

envelope of holomorphypolynomial convexityholomorphically convex hullsStein neighbourhood basis

Mathematics Subject Classification ID

Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) CR structures, CR operators, and generalizations (32V05) Envelopes of holomorphy (32D10) Removable singularities in several complex variables (32D20) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items (9)

A note on the closed range of \({\bar{\partial}}_b\) on \(q\)-convex manifolds ⋮ Analytic extension from non-pseudoconvex boundaries and \(A(D)\)-convexity. ⋮ Hartogs-Bochner type theorem in projective space ⋮ CR-MEROMORPHIC EXTENSION AND THE NONEMBEDDABILITY OF THE ANDREOTTI–ROSSI CR STRUCTURE IN THE PROJECTIVE SPACE ⋮ Chaînes holomorphes de bord donné dans $\bbfC P^n$ ⋮ On the Hartogs–Bochner phenomenon for CR functions in $P_2(\mathbb {C})$ ⋮ The automorphism group of an unbounded domain related to Wermer type sets ⋮ Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds ⋮ Removable singularities of \(L^p\) CR-functions on hypersurfaces

Cites Work

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• Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
• A theorem on holomorphic extension of CR-functions
• Spectre de \(A(\bar\Omega)\) pour des domaines bornes faiblement pseudoconvexes réguliers
• Boundary behavior of holomorphic functions on pseudoconvex domains
• Uniform approximation on smooth curves
• Polynomially and rationally convex sets
• A note on Hulls
• Rado's Theorem for CR-Functions
• Analytic continuation and boundary continuity of functions of several complex variables
• Orbits of Families of Vector Fields and Integrability of Distributions
• A Note on Polynomial Hulls

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