Estimates of the Bergman distance on Dini-smooth bounded planar domains

DOI10.1007/S13348-015-0150-2zbMath1354.30030arXiv1407.6696OpenAlexW2221886367MaRDI QIDQ314641

Maria Trybuła, Nikolai Nikolov

Publication date: 16 September 2016

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6696

zbMATH Keywords

Kobayashi distanceBergman distance, Carathéodory distanceDini-smooth planar domains

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (2)

Comparison and localization of invariant functions on strongly pseudoconvex domains ⋮ Boundary behaviour of invariant functions on planar domains

Cites Work

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• Comparison of invariant functions on strongly pseudoconvex domains
• Estimates of invariant distances on ``convex domains
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one
• Comparison Between the Kobayashi and Caratheodory Distances on Strongly Pseudoconvex Bounded Domains in C n
• Invariant distances and metrics in complex analysis
• Upper bound for the Lempert function of smooth domains

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