Bergman completeness is not a quasi-conformal invariant

DOI10.1090/S0002-9939-2012-11328-0zbMath1264.32006arXiv1107.5624OpenAlexW1987787224MaRDI QIDQ4908268

Xu Wang

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1107.5624

zbMATH Keywords

Bergman completenessBergman exhaustivenessquasi-conformal function

Mathematics Subject Classification ID

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

Related Items (2)

A Survey on Bergman Completeness ⋮ An essay on Bergman completeness

Cites Work

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• The Bergman metric on hyperconvex domains
• Logarithmic capacity and Bergman functions
• A remark on the bergman completeness
• On the bergman kernel of hyperconvex domains
• Hyperconvexity and Bergman completeness
• Completeness of the Bergman metric on non-smooth pseudoconvex domains
• An example concerning Bergman completeness
• Bergman completeness of Zalcman type domains
• Invariant distances and metrics in complex analysis

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