Regularity of the Kobayashi and Carathéodory metrics on Levi pseudoconvex domains

DOI10.1216/RMJ.2022.52.1445zbMath1504.32086OpenAlexW4313175438MaRDI QIDQ2080688

Steven G. Krantz

Publication date: 10 October 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-4/Regularity-of-the-Kobayashi-and-Carath%c3%a9odory-metrics-on-Levi-pseudoconvex/10.1216/rmj.2022.52.1445.full

zbMATH Keywords

Carathéodory metricKobayashi metricLipschitz regularity

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Domains of holomorphy (32T05)

Cites Work

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• Invariant distances on complex manifolds and holomorphic mappings
• The Carathéodory and Kobayashi Metrics and Applications in Complex Analysis
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Intrinsic measures on complex manifolds and holomorphic mappings
• Invariant distances and metrics in complex analysis
• Normal families of holomorphic mappings

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