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Homeomorphisms of finite distortion: discrete length of radial images
Published online by Cambridge University Press: 01 January 2008
Abstract
We study homeomorphisms of finite exponentially integrable distortion of the unit ball Bn onto a domain Ω 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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 1 , January 2008 , pp. 197 - 205
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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