Localization lemmas for the Bergman metric at plurisubharmonic peak points

DOI10.1017/S0027763000025538zbMath1045.32009WikidataQ125006768 ScholiaQ125006768MaRDI QIDQ4457781

Gregor Herbort

Publication date: 17 March 2004

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

zbMATH Keywords

Bergman kerneldomain functionalBergman metricpluricomplex Green functionplurisubharmonic peak point

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Bergman spaces of functions in several complex variables (32A36) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items

Peak points for pseudoconvex domains: A survey ⋮ On the Bergman metric on bounded pseudoconvex domains an approach without the Neumann operator

Cites Work

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• An estimate for the Bergman distance on pseudoconvex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Hyperconvexity and Bergman completeness

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