Montel type theorem for CR mappings between pseudo-Hermitian CR manifolds

DOI10.4134/bkms.b230540MaRDI QIDQ6655000

Hanjin Lee

Publication date: 20 December 2024

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

CR mapsnormal family of CR functionspseudo-Hermitian CR manifolds manifolds

Mathematics Subject Classification ID

Extension of functions and other analytic objects from CR manifolds (32V25) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) CR functions (32V10)

Cites Work

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• Uniqueness theorems for CR and conformal mappings
• The geometry of complex domains
• \(L^ 2\) estimates and existence theorems for the tangential Cauchy-Riemann complex
• Normal families and the semicontinuity of isometry and automorphism groups
• Optimal regularity for \(\overline\partial_b\) on CR manifolds
• A \(C^\infty\)-regularity theorem for nondegenerate CR mappings
• On the conformal and CR automorphism groups
• Kernels of Martinelli-Bochner type on hypersurfaces
• Schwarz type lemmas for pseudo-Hermitian manifolds
• Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions
• Normal families of holomorphic mappings

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