Trace conjunction inequalities
Functional Analysis
2025-04-28 v1
Abstract
Trace conjunction integrals are introduced and studied. They appear in trace conjunction inequalities which unify the Hardy inequality on a halfspace and the classical Gagliardo trace inequality. At the endpoint they satisfy a Bourgain-Brezis-Mironescu formula for smooth maps, which raises some new open problems.
Keywords
Cite
@article{arxiv.2502.18140,
title = {Trace conjunction inequalities},
author = {Jean Van Schaftingen},
journal= {arXiv preprint arXiv:2502.18140},
year = {2025}
}
Comments
18 pages