Local extension of CR functions from weakly pseudoconvex boundaries

DOI10.1307/mmj/1029002109zbMath0401.32007OpenAlexW2058684087MaRDI QIDQ1255127

Eric Bedford, John-Erik Fornaess

Publication date: 1978

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002109

zbMATH Keywords

Holomorphic ExtensionLocal Extension PropertyPseudoconvex DomainReal Analytic DomainTangential Cauchy-Riemann Equations

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Pseudoconvex domains (32T99) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (18)

Regularity of CR mappings ⋮ On CR mappings between pseudoconvex hypersurfaces of finite type in \(\mathbb{C}^2\) ⋮ Locally determined envelopes of holomorphy in \({\mathbb{C}}\) 2 ⋮ Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\) ⋮ Local regularity of CR homeomorphisms ⋮ Unnamed Item ⋮ Local cohomology and the absence of Poincaré lemma in tangential Cauchy-Riemann complexes ⋮ Some regularity theorems for CR mappings ⋮ Holomorphic extension of CR functions from quadratic cones ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Unnamed Item ⋮ Biholomorphic mappings between certain real analytic domains in \(\mathbb{C}^2\) ⋮ A Hopf lemma for holomorphic functions in Hardy spaces and applications to CR mappings ⋮ A result on extension of C. R. functions ⋮ About the holomorphic extension of CR functions on real hypersurfaces in complex space ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ 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 \({\mathbb{C}}^ n)\)

This page was built for publication: Local extension of CR functions from weakly pseudoconvex boundaries