A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications

DOI10.1007/BF01215486zbMath0518.32009MaRDI QIDQ1053835

Steven G. Krantz, Joseph A. Cima, Ted J. Suffridge

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173424

zbMATH Keywords

proper holomorphic mappingreflection principlestrongly pseudoconvex domainsreal analytic boundary

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Boundary behavior of holomorphic functions of several complex variables (32A40) Pseudoconvex domains (32T99) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (7)

On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions ⋮ Boundary behavior of rational proper maps ⋮ Proper holomorphic mappings ⋮ Applications holomorphes propres continues de domaines strictement pseudoconvexes de \({\mathbb{C}}^ n\) dans la boule unité de \({\mathbb{C}}^{n+1}\). (On the extension of proper holomorphic mappings from strictly pseudoconvex domains in \({\mathbb{C}}^ n\) into the unit ball of \({\mathbb{C}}^{n+1})\) ⋮ Le principe de réflexion en des points de faible pseudo convexité, pour des applications holomorphes propres ⋮ On the regularity of CR mappings between CR manifolds of hypersurface type ⋮ A reflection principle for real-analytic submanifolds of complex spaces

Cites Work

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• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Smooth extendability of proper holomorphic mappings
• Proper holomorphic mappings extend smoothly to the boundary
• ON THE ANALYTIC CONTINUATION OF HOLOMORPHIC MAPPINGS
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere

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