Comparison of the Bergman and the Kobayashi metric

DOI10.1007/BF01457999zbMath0429.32031OpenAlexW2033739884MaRDI QIDQ1137701

Klas Diederich, John-Erik Fornaess

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163491

zbMATH Keywords

Kobayashi metricBergman metricpseudoconvex domain

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Pseudoconvex domains (32T99)

Related Items (9)

On Curvature Estimates of Bounded Domains ⋮ Estimate of the squeezing function for a class of bounded domains ⋮ Intrinsic derivative, curvature estimates and squeezing function ⋮ Metric geometry of the Kobayashi metric ⋮ Comparison of invariant metrics ⋮ BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains ⋮ Holomorphic invariants of bounded domains ⋮ $$L^2$$ L 2 estimates for the $$\bar{\partial }$$ ∂ ¯ operator ⋮ Comparison theorem on Cartan-Hartogs domain of the first type

Cites Work

• Unnamed Item
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Inequality Between the Bergman Metric and Caratheodory Differential Metric

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