On a problem of Solynin

A number of authors have solved the problem of determining the minimal harm onic measure at the origin of a continuum in the closed unit disc which mee ts every radius. SOLYNIN has given an extension of this problem by requirin g that the competing continua have a certain specific index about the origi n and has provided an analytically implicit solution. In this paper is give n a simpler treatment which leads to a geometrically explicit solution.