Dimension of the Boundary in Different Metrics

Riku Klén; Ville Suomala

doi:10.7146/math.scand.a-15245

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.

Downloads

Published

2013-06-01

How to Cite

Klén, R., & Suomala, V. (2013). Dimension of the Boundary in Different Metrics. MATHEMATICA SCANDINAVICA, 112(2), 275–301. https://doi.org/10.7146/math.scand.a-15245