Boundary behaviour of invariant functions on planar domains

DOI10.1080/17476933.2015.1136823zbMath1353.32016arXiv1511.03117OpenAlexW2207429781MaRDI QIDQ5739806

Maria Trybuła, Lyubomir Andreev, Nikolai Nikolov

Publication date: 20 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03117

zbMATH Keywords

Bergman kernelCarathéodory metricKobayashi metric

Mathematics Subject Classification ID

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

Related Items (4)

Boundary behavior of the quasi-hyperbolic metric ⋮ Asymptotics of invariant metrics in the normal direction and a new characterisation of the unit disk ⋮ Squeezing functions and Cantor sets ⋮ Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\)

Cites Work

• Estimates of the Bergman distance on Dini-smooth bounded planar domains
• Comparison of invariant functions on strongly pseudoconvex domains
• Estimates of invariant distances on ``convex domains
• Uniform domains and the quasi-hyperbolic metric
• Logarithmic capacity and Bergman functions
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Asymptotic Expansions of Invariant Metrics of Strictly Pseudoconvex Domains
• Invariant distances and metrics in complex analysis

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