Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

Details Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings

2010-07-13

arxiv.org/abs/1007.2091v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We investigate how the integrability of the derivatives of Orlicz-Sobolev
mappings defined on open subsets of $\mathbb{R}^n$ affect the sizes of the
images of sets of Hausdorff dimension less than $n$. We measure the sizes of
the image sets in terms of generalized Hausdorff measures.

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