NONSYMMETRIC CONICAL UPPER DENSITY AND k-POROSITY
نویسنده
چکیده
We study how the Hausdorff measure is distributed in nonsymmetric narrow cones in Rn. As an application, we find an upper bound close to n−k for the Hausdorff dimension of sets with large k-porosity. With k-porous sets we mean sets which have holes in k different directions on every small scale.
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تاریخ انتشار 2004