The Martin compactification of a plane domain

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 44, pages 1,351-1,354 (eissn: 1777-5310,

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Authors: Nadirashvili, Nikolai;

doi: 10.5802/aif.1436

The Martin compactification of a plane domain

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Abstract

We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.

Keywords

plane domain, Martin boundary, Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions

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