ON THE BOUNDARY BEHAVIOUR OF FRIDMAN INVARIANTS

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY（2022）

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摘要

We prove that the Fridman invariant defined using the Caratheodory 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.

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关键词

Fridman invariant, strongly pseudoconvex, nonpseudoconvex

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