A Regularity Result for CR Mappings Between Infinite Type Hypersurfaces

DOI10.1080/03605300802224680zbMath1149.32020OpenAlexW1969667407MaRDI QIDQ3532815

Francine Meylan

Publication date: 28 October 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/10635/files/meylan_rrc.pdf

zbMATH Keywords

real analytic hypersurfacesinfinite typeCR mappingsSchwarz reflection principle

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Other generalizations of function theory of one complex variable (32A30) Extension of functions and other analytic objects from CR manifolds (32V25)

Cites Work

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• Extending proper holomorphic mappings of positive codimension
• Propagation of holomorphic extendability of CR functions
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Regularity of CR mappings between algebraic hypersurfaces
• THE SMOOTHNESS OF CR-MAPPINGS BETWEEN STRICTLY PSEUDOCONVEX HYPERSURFACES
• BOGOLJUBOV'S THEOREM ON THE "EDGE OF THE WEDGE" FOR GENERIC MANIFOLDS
• Schwarz reflection principle in complex spaces of dimension two
• A removable singularity property for cr mappings between real analytic hypersurfaces

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