Smooth bounded strictly and weakly pseudoconvex domains cannot be biholomorphic

DOI10.1090/S0273-0979-1981-14878-3zbMath0507.32012MaRDI QIDQ4744548

Steven R. Bell

Publication date: 1981

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

zbMATH Keywords

Neumann problemsmooth bounded pseudoconvex domainextension of biholomorphic mappings

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Boundary behavior of holomorphic functions of several complex variables (32A40) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items (3)

One Example of the Boundary Behaviour of Biholomorphic Transformations ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Weakly pseudoconvex domains with non-compact automorphism groups

Cites Work

• Unnamed Item
• Biholomorphic mappings and the \(\overline\partial\)-problem
• Pseudoconvex domains with real-analytic boundary
• Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds

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