On holomorphic extendability and the strong maximum principle for CR functions

DOI10.1007/s40627-020-00046-9zbMath1472.32017OpenAlexW3015886704MaRDI QIDQ830697

Shiferaw Berhanu

Publication date: 7 May 2021

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40627-020-00046-9

zbMATH Keywords

maximum principleholomorphic extensionCR functions\(\mathcal C^\infty\) surfaces in \(\mathbb C^n\)

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40)

Cites Work

• Holomorphically convex sets in several complex variables
• 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 \({\mathbb{C}}^ n)\)
• Boundary behavior of holomorphic functions on pseudoconvex domains
• A weak pseudoconcavity condition for abstract almost CR manifolds
• Local complex foliation of real submanifolds
• $\mathcal{C}^{\infty}$-hypoellipticity and extension of CR functions
• The Maximum Modulus Principle for CR Functions
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