Trace conjunction inequalities

Published 25 Feb 2025 in math.FA | (2502.18140v1)

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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Authors (1)

Jean Van Schaftingen

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