Dimension of the Boundary in Different Metrics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2013Embargo end date: 01 Jan 2010Publisher:Det Kgl. Bibliotek/Royal Danish LibraryJournal:MATHEMATICA SCANDINAVICA, volume 112, page 275 (issn: 0025-5521, eissn: 1903-1807,

Copyright policy )Funded by:AKA | Dimension theory and geom..., AKA | Geometric analysis

Authors: Klen, R; Suomala, V;

doi: 10.7146/math.scand.a-15245 , 10.48550/arxiv.1005.1808

arXiv: 1005.1808

Dimension of the Boundary in Different Metrics

- Summary
- Subjects
- Metrics

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.

Related Organizations

University of Oulu
Finland

Keywords

Mathematics - Classical Analysis and ODEs, 28A78, 30C65, ta111, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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