Biholomorphic mappings between bounded domains in \(C^ n\)

DOI10.1007/BF02568309zbMath0867.32005OpenAlexW2089493210MaRDI QIDQ1817357

Yifei Pan

Publication date: 11 August 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156196

zbMATH Keywords

biholomorphic mappingbounded domains in \(\mathbb{C}^ n\)

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Proper holomorphic mappings, finiteness theorems (32H35)

Cites Work

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• Extension of proper holomorphic mappings past the boundary
• 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 \({\mathbb{C}}^ n)\)
• Normal forms for generic manifolds and holomorphic extension of CR functions
• Biholomorphic mappings between weakly pseudoconvex domains
• Pseudoconvex domains: Existence of Stein neighborhoods
• A generalized complex Hopf lemma and its applications to CR mappings
• THE INVERSE OF A CR-HOMEOMORPHISM IS CR
• A unique continuation problem for holomorphic mappings
• Real Analyticity of Homeomorphic CR Mappings Between Real Analytic Hypersurfaces in C 2
• A hopf lemma for holomorphic functions and applications
• A characterization of the finite multiplicity of a CR mapping

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