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ON THE BOUNDARY BEHAVIOUR OF FRIDMAN INVARIANTS

Part of: Holomorphic mappings and correspondences Geometric convexity

Published online by Cambridge University Press:  22 September 2021

SHICHAO YANG
SHICHAO YANG*
Affiliation:
School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai, 200240, PR China
*
e-mail: yangshichao@sjtu.edu.cn
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Abstract

We prove that the Fridman invariant defined using the Carathéodory pseudodistance does not always go to 1 near strongly Levi pseudoconvex boundary points and it always goes to 0 near nonpseudoconvex boundary points. We also discuss whether Fridman invariants can be extended continuously to some boundary points of domains constructed by deleting compact subsets from other domains.

Keywords

Fridman invariantstrongly pseudoconvexnonpseudoconvex

MSC classification

Primary: 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
Secondary: 32F45: Invariant metrics and pseudodistances
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 105 , Issue 3 , June 2022 , pp. 482 - 489
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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