Indicatrix of invariant metrics, maximal circularity and scaling of domains

Huda Alzaki; Jae Cheon Joo

doi:10.1016/j.jmaa.2023.127981

Indicatrix of invariant metrics, maximal circularity and scaling of domains

Huda Alzaki, Jae Cheon Joo^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate how to use the indicatrix of an invariant metric to rescale a sequence of biholomorphic maps and to ensure the convergence of the rescaled sequence. We also use the indicatrix of the Kobayashi-Royden metric to define the maximal circularity function which indicates how the domain is close to a circular domain.

Original language	English
Article number	127981
Journal	Journal of Mathematical Analysis and Applications
Volume	532
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2023.127981
State	Published - 15 Apr 2024

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

Circularity
Indicatrix
Invariant metrics
Scaling

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2023.127981

Cite this

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abstract = "We investigate how to use the indicatrix of an invariant metric to rescale a sequence of biholomorphic maps and to ensure the convergence of the rescaled sequence. We also use the indicatrix of the Kobayashi-Royden metric to define the maximal circularity function which indicates how the domain is close to a circular domain.",

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AU - Joo, Jae Cheon

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AB - We investigate how to use the indicatrix of an invariant metric to rescale a sequence of biholomorphic maps and to ensure the convergence of the rescaled sequence. We also use the indicatrix of the Kobayashi-Royden metric to define the maximal circularity function which indicates how the domain is close to a circular domain.

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KW - Invariant metrics

KW - Scaling

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Indicatrix of invariant metrics, maximal circularity and scaling of domains

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this