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Acta Mathematica Vietnamica

A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma

icon-email Phan Thành Nam

Abstract

We give a proof of the Lieb–Thirring inequality on the kinetic energy of orthonormal functions by using a microlocal technique, in which the uncertainty and exclusion principles are combined through the use of the Besicovitch covering lemma.