Abstract
We prove the Lipschitz regularity of the Kobayashi and Carathéodory metrics on suitable domains.
Citation
Steven G. Krantz. "Regularity of the Kobayashi and Carathéodory metrics on Levi pseudoconvex domains." Rocky Mountain J. Math. 52 (4) 1445 - 1450, August 2022. https://doi.org/10.1216/rmj.2022.52.1445
Information
Received: 4 August 2021; Revised: 26 October 2021; Accepted: 26 October 2021; Published: August 2022
First available in Project Euclid: 26 September 2022
MathSciNet: MR4489169
zbMATH: 1504.32086
Digital Object Identifier: 10.1216/rmj.2022.52.1445
Subjects:
Primary:
32T05
Secondary:
32A10
,
32T15
Keywords:
Carathéodory metric
,
Kobayashi metric
,
Lipschitz
Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium