Jean Van Schaftingen
In blessed memory of Haim Brezis and his joy of asking and solving problems
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: fractional Sobolev space, Hardy inequality, trace inequality.
MSC: 46E35.
DOI 10.56082/annalsarscimath.2025.1.321
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics on Its Application, Volume 17 no 1, 2025
