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arXiv · 1910.07837

On Hausdorff measure and an inequality due to Maz'ya

Hendrik Vogt·Jürgen Voigt
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Abstract

We give an "elementary" proof of an inequality due to Maz'ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations between Maz'ya's inequality, the isoperimetric inequality and the Sobolev inequality.

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Hendrik Vogt, Jürgen Voigt. 2019-10-17. On Hausdorff measure and an inequality due to Maz'ya. https://doi.org/10.1007/s00013-019-01425-3

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