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Article . 2022
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Comparison and localization of invariant functions on strongly pseudoconvex domains

Authors: Nikolov, Nikolai;

Comparison and localization of invariant functions on strongly pseudoconvex domains

Abstract

AbstractComparison and localization results for the Lempert function, the Carathéodory distance, and their infinitesimal forms on strongly pseudoconvex domains are obtained. Related results for visible and strongly complete domains are proved.

Keywords

Carathéodory distance, Mathematics - Complex Variables, FOS: Mathematics, Strongly pseudoconvex domains, strongly pseudoconvex domain, Complex Variables (math.CV), 32F45, Kobayashi distance, Invariant metrics and pseudodistances in several complex variables

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green