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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some estimates for harmonic measures. II


Author: James A. Jenkins
Journal: Proc. Amer. Math. Soc. 111 (1991), 441-442
MSC: Primary 30C85; Secondary 31A15
MathSciNet review: 1050021
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Abstract: FitzGerald, Rodin, and Warschawski proved that, for a continuum of given diameter in the closed unit disc, the harmonic measure at the center is minimized when it is an arc on the circumference. A very simple proof of this result is given, using the method of the extremal metric.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1050021-8
PII: S 0002-9939(1991)1050021-8
Article copyright: © Copyright 1991 American Mathematical Society