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Resumen de Homeomorphisms of finite distortion: discrete length of radial images

Pekka Koskela, Tomi Nieminen

  • 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.


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