On Hausdorff measure and an inequality due to Maz'ya
Functional Analysis
2021-01-19 v3
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.
Keywords
Cite
@article{arxiv.1910.07837,
title = {On Hausdorff measure and an inequality due to Maz'ya},
author = {Hendrik Vogt and Jürgen Voigt},
journal= {arXiv preprint arXiv:1910.07837},
year = {2021}
}