Planar Sobolev homeomorphisms and Hausdorff dimension distortion

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RESEARCH PRODUCT

Planar Sobolev homeomorphisms and Hausdorff dimension distortion

subject

Mathematics::Functional Analysis Pure mathematics Applied Mathematics General Mathematics Mathematical analysis Mathematics::General Topology Dimension function Urysohn and completely Hausdorff spaces Effective dimension Hausdorff distance Packing dimension Hausdorff dimension Hausdorff measure Outer measure Mathematics

description

We investigate how planar Sobolev-Orlicz homeomorphisms map sets of Hausdorff dimension less than two. With the correct gauge functions the generalized Hausdorff measures of the image sets are shown to be zero.

year	journal	country	edition	language
2011-05-01	Proceedings of the American Mathematical Society

https://doi.org/10.1090/s0002-9939-2010-10464-1

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