Trace conjunction inequalities

Van Schaftingen, Jean
(2025) Academy of Romanian Scientists. Annals. Series on Mathematics and its Applications — Vol. 17, n° 1, p. 321-342 (2025)

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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.
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Van Schaftingen, J. (2025). Trace conjunction inequalities. Academy of Romanian Scientists. Annals. Series on Mathematics and its Applications, 17(1), 321-342. https://doi.org/10.56082/annalsarscimath.2025.1.321 (Original work published 2025)