Smooth extendability of proper holomorphic mappings

DOI10.1090/S0273-0979-1982-15029-7zbMath0521.32014OpenAlexW2078858185MaRDI QIDQ3671482

Klas Diederich, John-Erik Fornaess

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15029-7

zbMATH Keywords

real analytic boundarybounded pseudoconvex domainsglobal boundary behaviorcontinuation of holomorphic functionscondition RFefferman theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Pseudoconvex domains (32T99)

Related Items

One Example of the Boundary Behaviour of Biholomorphic Transformations ⋮ Boundary regularity of proper holomorphic mappings ⋮ A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications

Cites Work

• Biholomorphic mappings and the \(\overline\partial\)-problem
• A remark on a paper by S. R. Bell
• Proper holomorphic mappings and the Bergman projection
• Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
• Proper holomorphic images of strictly pseudoconvex domains
• Pseudoconvex domains with real-analytic boundary
• Biholomorphic mappings and the Bergman kernel off the diagonal
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• A simplification and extension of Fefferman's theorem on biholomorphic mappings
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Harmonic integrals on strongly pseudo-convex manifolds. I
• The Bergman Kernel Function and Propert Holomorphic Mappings
• How to prove Fefferman's theorem without use of differential geometry

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