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Homeomorphisms of finite distortion: discrete length of radial images
Tomi NieminenPekka Koskelasubject
Unit sphereDistortion (mathematics)Finite volume methodIntegrable systemDimension (vector space)General MathematicsMathematical analysisA domainGeometryGauge (firearms)Mathematicsdescription
AbstractWe 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.
year | journal | country | edition | language |
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2008-01-01 | Mathematical Proceedings of the Cambridge Philosophical Society |