Open Access Open Access  Restricted Access Subscription Access

Dimension of the Boundary in Different Metrics

Riku Klén, Ville Suomala

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.

Full Text:

PDF


DOI: http://dx.doi.org/10.7146/math.scand.a-15245

Refbacks

  • There are currently no refbacks.
This website uses cookies to allow us to see how the site is used. The cookies cannot identify you or any content at your own computer.
OK


ISSN 0025-5521 (print) ISSN 1903-1807 (online)

Hosted by the Royal Danish Library