Volume 230, Issue 1 pp. 93-98
Original Paper

On a Problem of Solynin

James Jenkins

James Jenkins

Department of Mathematics, Washington University in St. Louis, Campus Box 1146 / One Brookings Drive, St. Louis, Missouri 63130-4899, USA

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Abstract

A number of authors have solved the problem of determining the minimal harmonic measure at the origin of a continuum in the closed unit disc which meets every radius. Solynin has given an extension of this problem by requiring that the competing continua have a certain specific index about the origin and has provided an analytically implicit solution. In this paper is given a simpler treatment which leads to a geometrically explicit solution.

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