Dimension of the boundary in different metrics
classification
🧮 math.CA
keywords
metricsomegaboundarycolonconsidercontinuousdensitiesdifferent
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We consider metrics on Euclidean domains $\Omega\subset\R^n$ 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.
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