On the Bergman metric on bounded pseudoconvex domains an approach without the Neumann operator

DOI10.1142/S0129167X14500256zbMath1295.32021OpenAlexW2133598554MaRDI QIDQ5415796

Gregor Herbort

Publication date: 16 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500256

zbMATH Keywords

plurisubharmonic functionsGreen functionBergman metric

Mathematics Subject Classification ID

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

Related Items (2)

Lower bounds on the Bergman metric near points of infinite type ⋮ A geometric approach to Catlin's boundary systems

Cites Work

• Necessary geometric and analytic conditions for general estimates in the \(\overline{\partial}\)-Neumann problem
• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• A sufficient condition for subellipticity of the \(\bar {\partial}\)-Neumann operator
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Lower bounds on the Bergman metric near a point of finite type
• An estimate for the Bergman distance on pseudoconvex domains
• A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
• Localization lemmas for the Bergman metric at plurisubharmonic peak points
• The Bergman metric and the pluricomplex Green function

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