The invariant pseudo-metric related to negative plurisubharmonic functions

DOI10.2996/kmj/1138037363zbMath0618.32020OpenAlexW2014701454MaRDI QIDQ1089139

Kazuo Azukawa

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2996/kmj/1138037363

zbMATH Keywords

pseudo-metricinvariant metricextremal plurisubharmonic functionsRobin constantpseudo-convexKlimek's extremal function

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Plurisubharmonic functions and generalizations (32U05)

Related Items (8)

Estimates of the Bergman kernel on Teichmüller space ⋮ Behavior of Invariant Metrics Near Convexifiable Boundary Points ⋮ The Green function of Teichmüller spaces with applications ⋮ Pluricomplex Green functions on manifolds ⋮ Old and new invariant pseudo-distances defined by pluriharmonic functions ⋮ Geometry of Riemann surfaces based on closed geodesics ⋮ Continuity and boundary behavior of the Carathéodory metric ⋮ A note on Carathéodory and Kobayashi pseudodistances

Cites Work

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• A new capacity for plurisubharmonic functions
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• Über die Existenz der Greenschen Funktionen auf einer gegebenen Riemannschen Fläche
• Capacities and kernels on Riemann surfaces
• Analytic functions in circular rings
• Extremal plurisubharmonic functions and invariant pseudodistances
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Intrinsic distances, measures and geometric function theory
• The Caratheodory Metric of the Annulus

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