Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 32, 2007, 171-178

REMOVABLE SINGULARITIES FOR HÖLDER CONTINUOUS QUASIREGULAR MAPPINGS IN THE PLANE

Albert Clop

Universitat Autònoma de Barcelona, Departament de Matemàtiques
08193-Bellaterra, Barcelona, Spain; albert.clop 'at' uab.cat

Abstract. We give necessary conditions for a set E to be removable for Hölder continuous quasiregular mappings in the plane. We also obtain some removability results for Hölder continuous mappings of finite distortion.

2000 Mathematics Subject Classification: Primary 30C60, 35J15, 35J70.

Key words: Quasiconformal, Hausdorff measure, removability.

Reference to this article: A. Clop: Removable singularities for Hölder continuous quasiregular mappings in the plane. Ann. Acad. Sci. Fenn. Math. 32 (2007), 171-178.

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