arXiv Analytics

Sign in

arXiv:1910.07837 [math.FA]AbstractReferencesReviewsResources

On Hausdorff measure and an inequality due to Maz'ya

Hendrik Vogt, Jürgen Voigt

Published 2019-10-17Version 1

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.

Categories: math.FA
Subjects: 49Q15, 28A75, 46E35
Related articles: Most relevant | Search more
arXiv:2005.06559 [math.FA] (Published 2020-05-13)
Hausdorff measure of critical set for Luzin $N$ condition
arXiv:2103.09736 [math.FA] (Published 2021-03-17)
Some remarks on the Sobolev inequality in Riemannian manifolds
arXiv:math/0306089 [math.FA] (Published 2003-06-05)
Isoperimetric inequalities of euclidean type in metric spaces

Links

Toolbox