A general reflection principle in \(\mathbb{C}^ 2\)

DOI10.1016/0022-1236(91)90047-9zbMath0747.32014OpenAlexW2033999347MaRDI QIDQ1178633

Mohamed Salah Baouendi, Linda Preiss Rothschild

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90047-9

zbMATH Keywords

holomorphic mappingsreal analytic surfacesSchwarz reflection principleholomorphic extendabilityflatness for hypersurfaces

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Real submanifolds in complex manifolds (32V40) Boundary behavior of holomorphic functions of several complex variables (32A40) CR structures, CR operators, and generalizations (32V05) Other generalizations of function theory of one complex variable (32A30)

Related Items (4)

Extension of smooth CR mappings between non-essentially finite hypersurfaces in \(\mathbb{C}^ 3\) ⋮ Remarks on the rank properties of formal CR maps ⋮ On the unique continuation problem for CR mappings into nonminimal hypersurfaces ⋮ On vector fields in the plane with the reflection property

Cites Work

• Unnamed Item
• Geometric properties of mappings between hypersurfaces in complex space
• On the analyticity of CR mappings
• Germs of CR maps between real analytic hypersurfaces
• Mappings of three-dimensional CR manifolds and their holomorphic extension
• Proper holomorphic mappings between real-analytic pseudoconvex domains in \({\mathbb{C}}^ n\)
• A reflection principle for degenerate real hypersurfaces
• Analytic hypoellipticity of the (partial-d-bar)-Neumann problem and extendability of holomorphic mappings
• Real hypersurfaces in complex manifolds
• Hypoelliptic second order differential equations
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two

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