On Analytic Diameters and Analytic Centers of Compact Sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1981Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 267, page 219 (issn: 0002-9947,

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Authors: Kobayashi, Shoji; Suita, Nobuyuki;

doi: 10.2307/1998579 , 10.1090/s0002-9947-1981-0621983-3

On Analytic Diameters and Analytic Centers of Compact Sets

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Abstract

In this paper several results on analytic diameters and analytic centers are obtained. We show that the extremal function for analytic diameter is unique and that there exist compact sets with many analytic centers. We answer negatively several problems posed by F. Miinsker.

Keywords

analytic diameters, extremal function, Capacity and harmonic measure in the complex plane, analytic capacity, analytic centers, Minsker's problems

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