Bloch's theorem for mappings of bounded and finite distortion

• Autores: Kai Rajala
• Localización: Mathematische Annalen, ISSN 0025-5831, Vol. 339, Nº. 2, 2007, págs. 445-460
• Idioma: inglés
• DOI: 10.1007/s00208-007-0124-0
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• Resumen

  • We study the covering properties of mappings of bounded and exponentially integrable distortion on the unit ball. We extend the results of Eremenko (Proc Am Math Soc 128:557-560, 2000) by proving Bloch-type theorems for mappings of exponentially integrable distortion. In the case of mappings of bounded distortion, we formulate and prove Bloch's theorem in its most natural form.