The Petty projection inequality for sets of finite perimeter
Functional Analysis
2021-02-16 v1 Metric Geometry
Abstract
The Petty projection inequality for sets of finite perimeter is proved. Our approach is based on Steiner symmetrization. Neither the affine Sobolev inequality nor the functional Minkowski problem is used in our proof. Moreover, for sets of finite perimeter, we prove the Petty projection inequality with respect to Steiner symmetrization.
Keywords
Cite
@article{arxiv.2102.07103,
title = {The Petty projection inequality for sets of finite perimeter},
author = {Youjiang Lin},
journal= {arXiv preprint arXiv:2102.07103},
year = {2021}
}