Uniqueness dictated by boundary orbit accumulation sets

Steven G. Krantz

doi:10.1216/RMJ-2019-49-8-2643

Abstract

We study domains in which the set of boundary orbit accumulation points contains a relatively open subset of the boundary. The main result, in complex dimension 2, is that a domain with such a property must be either the ball or the bidisc.

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Steven G. Krantz. "Uniqueness dictated by boundary orbit accumulation sets." Rocky Mountain J. Math. 49 (8) 2643 - 2646, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2643

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Published: 2019

First available in Project Euclid: 31 January 2020

zbMATH: 07163190

MathSciNet: MR4058341

Digital Object Identifier: 10.1216/RMJ-2019-49-8-2643

Subjects:

Primary: 32H02

Secondary: 32E99 , 32M99

Keywords: boundary orbit accumulation point , boundary orbit accumulation set , pseudoconvex

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