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On a Problem of Solynin
Author(s) -
Jenkins James
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200110)230:1<93::aid-mana93>3.0.co;2-x
Subject(s) - mathematics , measure (data warehouse) , extension (predicate logic) , mathematical analysis , radius , calculus (dental) , computer science , medicine , dentistry , database , programming language , computer security
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.