Boundary behavior of the Carathéodory, Kobayashi, and Bergman metrics on strongly pseudoconvex domains in {{𝐂}}ⁿ with smooth boundary

DOI10.1090/S0002-9904-1973-13297-5zbMath0267.32011MaRDI QIDQ5685391

Ian Graham

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

On the Gromov hyperbolicity of convex domains in \(\mathbb{C}^n\) ⋮ Totally geodesic discs in strongly convex domains ⋮ BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains ⋮ On the differential geometric characterization of the Lee models ⋮ An integral inequality of an intrinsic measure on bounded domains in \({\mathbb{C}{}}^ n\) ⋮ Boundary properties of holomorphic functions of several complex variables ⋮ The Bergman kernel and biholomorphic mappings of pseudoconvex domains

Cites Work

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• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)