Behavior of the Bergman kernel at infinity

DOI10.1007/s00209-004-0676-6zbMath1066.32003OpenAlexW2034947139MaRDI QIDQ706112

Joe Kamimoto, Bo-Yong Chen, Takeo Ohsawa

Publication date: 2 February 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0676-6

zbMATH Keywords

unbounded domainBergman metricHaslinger's formula

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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Positivity and completeness of invariant metrics ⋮ On the existence of Kobayashi and Bergman metrics for model domains ⋮ Unbounded Pseudoconvex Domains in $${\mathbb {C}}^n$$ and Their Invariant Metrics ⋮ A Survey on Bergman Completeness ⋮ Some Problems ⋮ Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude ⋮ Hyperbolic imbeddedness and tautness modulo a closed subset ⋮ A Kobayashi and Bergman complete domain without bounded representations ⋮ \(L_h^2\)-functions in unbounded balanced domains ⋮ On the growth of the Bergman metric near a point of infinite type ⋮ Carathéodory and Kobayashi hyperbolicity of unbounded domains in ℂⁿ ⋮ Newton polyhedra and order of contact on real hypersurfaces ⋮ Bergman kernel and complex singularity exponent ⋮ Bergman completeness of unbounded hartogs Domains

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