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arXiv · 2502.18140

Trace conjunction inequalities

Jean Van Schaftingen
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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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Jean Van Schaftingen. 2025-02-25. Trace conjunction inequalities. https://doi.org/10.56082/annalsarscimath.2025.1.321

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