Some new results on domains in complex space with non-compact automorphism group.

DOI10.1016/S0022-247X(03)00003-9zbMath1035.32019OpenAlexW2034086083MaRDI QIDQ1399329

Kang-Tae Kim, Steven G. Krantz

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00003-9

zbMATH Keywords

peak functionboundary orbit accumulation pointboundary point of finite type

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Finite-type domains (32T25) Algebras of holomorphic functions of several complex variables (32A38) Strongly pseudoconvex domains (32T15) Domains of holomorphy (32T05)

Related Items (7)

Rescaling methods in complex analysis ⋮ On the existence of parabolic actions in convex domains of ℂ k+1 ⋮ The impact of the theorem of Bun Wong and Rosay ⋮ Characterization of the unit ball in \(\mathbb{C}^n\) among complex manifolds of dimension \(n\) ⋮ Automorphism group actions in complex analysis ⋮ On the nonexistence of parabolic boundary points of certain domains in \(\mathbb C^2\) ⋮ On the tangential holomorphic vector fields vanishing at an infinite type point

Cites Work

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• DOMAINS IN $ \mathbf{C}^2$ WITH NONCOMPACT HOLOMORPHIC AUTOMORPHISM GROUPS
• A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
• A hopf lemma for holomorphic functions and applications

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