Dimension of the boundary in different metrics

: Klen R, Suomala V

Publisher: MATEMATISK INST

: 2013

: Mathematica Scandinavica

: MATHEMATICA SCANDINAVICA

: MATH SCAND

: 2

: 112

: 2

: 275

: 301

: 27

: 0025-5521

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.

Mathematics