Dimension of the Boundary in Different Metrics

• Autores: Riku Klén, Ville Suomala
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 112, Nº 2, 2013, págs. 275-301
• Idioma: inglés
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• Resumen

  • We consider metrics on Euclidean domains Ω⊂Rn that are induced by continuous densities ρ:Ω→(0,∞) and study the Hausdorff and packing dimensions of the boundary of Ω with respect to these metrics.