Comparison and localization of invariant functions on strongly pseudoconvex domains
Nikolai Nikolov
TL;DR
This paper investigates the relationships and localization properties of invariant functions like the Lempert function and Carathéodory distance on strongly pseudoconvex domains, providing new comparison and localization results.
Contribution
It introduces new comparison and localization results for invariant functions on strongly pseudoconvex domains, extending understanding of their behavior and relationships.
Findings
Comparison and localization results for the Lempert function and Carathéodory distance.
Results for infinitesimal forms of these functions.
Findings for visible and strongly complete domains.
Abstract
Comparison and localization results for the Lempert function, the Carath\'eodory distance and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Algebraic and Geometric Analysis