A counterexample to the existence of a local plurisubharmonic peak function at infinity

DOI10.1090/S0002-9939-04-07699-3zbMath1061.32025OpenAlexW2040179953WikidataQ125053713 ScholiaQ125053713MaRDI QIDQ4654065

Sung-Hee Park

Publication date: 1 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07699-3

zbMATH Keywords

Kobayashi distanceReinhardt domainsplurisubharmonic peak function

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Peak functions (32T40)

Cites Work

• Unnamed Item
• Localization of invariant metrics
• On hyperbolicity of pseudoconvex Reinhardt domains
• On completeness of invariant metrics of Reinhardt domains
• Weak-type normal families of holomorphic mappings in Banach spaces and characterization of the Hilbert ball by its automorphism group
• On hyperbolicity and tautness of certain Hartogs type domains
• Tautness and complete hyperbolicity of domains in $\mathbb {C}^n$
• A Note on the Wong-Rosay Theorem in Complex Manifolds
• Invariant distances and metrics in complex analysis
• Extension of holomorphic functions
• Normal families of holomorphic mappings

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