A form of Schwarz's lemma and a bound for the Kobayashi metric on convex domains

DOI10.1016/j.jmaa.2019.123694zbMath1434.30007arXiv1709.09057OpenAlexW2756969190WikidataQ125052934 ScholiaQ125052934MaRDI QIDQ2287288

Anwoy Maitra

Publication date: 20 January 2020

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

Full work available at URL: https://arxiv.org/abs/1709.09057

zbMATH Keywords

holomorphic mapsKobayashi metricconvex domainsSchwarz's lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Geometric convexity in several complex variables (32F99)

Related Items (1)

Note on some classes of holomorphic functions related to Jack’s and Schwarz’s lemma

Cites Work

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• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Goldilocks domains, a weak notion of visibility, and applications
• A Schwarz lemma for convex domains in arbitrary Banach spaces
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Complex Geodesics and Iterates of Holomorphic Maps on Convex Domains in C n
• Distortion theorems for holomorphic maps between convex domains in ⁿ
• Asymptotic Expansions of Invariant Metrics of Strictly Pseudoconvex Domains
• Invariant distances and metrics in complex analysis

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