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Some Estimates for Harmonic Measures. II
1991
Proceedings of the American Mathematical Society
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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.
doi:10.2307/2048333
fatcat:vawx2x67xjds7igbngzhmes6zi