Annales Academię Scientiarum Fennicę
Mathematica
Volumen 35, 2010, 321-329
University College Dublin, School of Mathematical Sciences
Belfield, Dublin 4, Ireland; stephen.gardiner 'at' ucd.ie
University College Dublin, School of Mathematical Sciences
Belfield, Dublin 4, Ireland; marius.ghergu 'at' ucd.ie
Abstract. This paper is concerned with the type of region that arises when infinitely many disjoint closed balls, or "bubbles", are removed from the unit ball of Euclidean space. It characterises those configurations of balls which carry full harmonic measure for the resultant region.
2000 Mathematics Subject Classification: Primary 31B20.
Key words: Harmonic measure, Newtonian capacity.
Reference to this article: S.J. Gardiner and M. Ghergu: Champagne subregions of the unit ball with unavoidable bubbles. Ann. Acad. Sci. Fenn. Math. 35 (2010), 321-329.
doi:10.5186/aasfm.2010.3520
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