Homeomorphisms of finite distortion: discrete length of radial images

• Autores: Pekka Koskela , Tomi Nieminen
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 1, 2008, págs. 197-205
• Idioma: inglés
• DOI: 10.1017/s0305004107000734
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• Resumen

  • We study homeomorphisms of finite exponentially integrable distortion of the unit ball Bn onto a domain O of finite volume. We show that under such a mapping the images of almost all radii (in terms of a gauge dimension) have finite discrete length. We also show that our dimension estimate is essentially sharp.