Comparison of invariant functions on strongly pseudoconvex domains

DOI10.1016/J.JMAA.2014.07.007zbMath1297.32013arXiv1212.2428OpenAlexW2963783466MaRDI QIDQ401344

Nikolai Nikolov

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2428

zbMATH Keywords

invariant metricspseudodistances

Mathematics Subject Classification ID

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

Related Items (8)

Some remarks on the Kobayashi-Fuks metric on strongly pseudoconvex domains ⋮ Gromov (non-)hyperbolicity of certain domains in \(\mathbb{C}^{N}\) ⋮ Estimates of the Bergman distance on Dini-smooth bounded planar domains ⋮ Comparison of invariant functions and metrics ⋮ Estimates for the squeezing function near strictly pseudoconvex boundary points with applications ⋮ Boundary behaviour of invariant functions on planar domains ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\)

Cites Work

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• Localization of invariant metrics
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Holomorphic retracts and intrinsic metrics in convex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Comparison Between the Kobayashi and Caratheodory Distances on Strongly Pseudoconvex Bounded Domains in C n
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• Pseudoconvexity and Gromov hyperbolicity
• Invariant distances and metrics in complex analysis
• Upper bound for the Lempert function of smooth domains

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