不同度量中的边界尺寸
Dimension of the boundary in different metrics
摘要:
我们考虑欧几里得整环$Ω\subset\R^n$上的度量,由连续密度$ρ\colonΩ\rightarrow(0,\infty)$诱导,并研究了$Ω$边界的Hausdorff维数和packing维数。
英文摘要:
We consider metrics on Euclidean domains $Ω\subset\R^n$ that are induced by continuous densities $ρ\colonΩ\rightarrow(0,\infty)$ and study the Hausdorff and packing dimensions of the boundary of $Ω$ with respect to these metrics.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。