Dimension of the boundary in different metrics

Details Dimension of the boundary in different metrics Dimension of the boundary in different metrics

2010-05-11

arxiv.org/abs/1005.1808v3

Mathematics

Classical Analysis and ODEs

20 pages, 2 figures

Scientific paper

We consider metrics on Euclidean domains $\Omega\subset\R^n$ that are induced
by continuous densities $\rho\colon\Omega\rightarrow(0,\infty)$ and study the
Hausdorff and packing dimensions of the boundary of $\Omega$ with respect to
these metrics.

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