Dimension of the Boundary in Different Metrics

Authors

  • Riku Klén
  • Ville Suomala

DOI:

https://doi.org/10.7146/math.scand.a-15245

Abstract

We consider metrics on Euclidean domains $\Omega\subset\mathbf{R}^n$ 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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Published

2013-06-01

Issue

Vol. 112 No. 2 (2013)

Section

Articles

How to Cite

[1]
R. Klén and V. Suomala, “Dimension of the Boundary in Different Metrics”, Math. Scand., vol. 112, no. 2, pp. 275–301, Jun. 2013, doi: 10.7146/math.scand.a-15245.