THE PLURICOMPLEX GREEN FUNCTION ON PSEUDOCONVEX DOMAINS WITH A SMOOTH BOUNDARY

DOI10.1142/S0129167X00000258zbMath1110.32307MaRDI QIDQ2728512

Gregor Herbort

Publication date: 1 August 2001

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

Mathematics Subject Classification ID

Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items

Bergman kernel and hyperconvexity index ⋮ A Survey on Bergman Completeness ⋮ An essay on Bergman completeness ⋮ Comparison of the Bergman and Szegö kernels ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ The Bergman metric and the pluricomplex Green function ⋮ Quantitative estimates for the Green function and an application to the Bergman metric

Cites Work

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• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• On the geodesics of the Bergman metric
• The Dirichlet problem for a complex Monge-Ampère equation
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Pseudoconvex domains: Existence of Stein neighborhoods
• The Bergman metric on hyperconvex domains
• Plurisubharmonic measures and capacities on complex manifolds
• Hyperconvexity and Bergman completeness

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