Trace conjunction inequalities
arXiv:2502.18140 · doi:10.56082/annalsarscimath.2025.1.321
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.
18 pages