A1 Refereed original research article in a scientific journal
Dimension of the boundary in different metrics
Authors: Klen R, Suomala V
Publisher: MATEMATISK INST
Publication year: 2013
Journal: Mathematica Scandinavica
Journal name in source: MATHEMATICA SCANDINAVICA
Journal acronym: MATH SCAND
Number in series: 2
Volume: 112
Issue: 2
First page : 275
Last page: 301
Number of pages: 27
ISSN: 0025-5521
Abstract
We consider metrics on Euclidean domains Omega subset of R-n that are induced by continuous densities rho: Omega -> (0, infinity) and study the Hausdorff and packing dimensions of the boundary of Omega with respect to these metrics.
We consider metrics on Euclidean domains Omega subset of R-n that are induced by continuous densities rho: Omega -> (0, infinity) and study the Hausdorff and packing dimensions of the boundary of Omega with respect to these metrics.