Bergman completeness of unbounded hartogs Domains

DOI10.1017/S0027763000009223zbMath1094.32004MaRDI QIDQ3378890

Włodzimierz Zwonek, Peter Pflug

Publication date: 4 April 2006

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

unbounded domainBergman metricHartogs domain

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Capacity and harmonic measure in the complex plane (30C85) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (9)

Positivity and completeness of invariant metrics ⋮ A Survey on Bergman Completeness ⋮ An essay on Bergman completeness ⋮ A Kobayashi and Bergman complete domain without bounded representations ⋮ \(L_h^2\)-functions in unbounded balanced domains ⋮ On the dimension of Bergman spaces on \(\mathbb{P}^1\) ⋮ Capacities, Green function, and Bergman functions ⋮ On the dimension of the Bergman space for some unbounded domains ⋮ Invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group

Cites Work

• On the extension of \(L^ 2\) holomorphic functions
• Behavior of the Bergman kernel at infinity
• The Bergman metric on hyperconvex domains
• Logarithmic capacity and Bergman functions
• On Bergman completeness of pseudoconvex Reinhardt domains
• On the bergman kernel of hyperconvex domains
• Hyperconvexity and Bergman completeness
• Bergman completeness of hyperconvex manifolds
• The Bergman metric and the pluricomplex Green function

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