Acta Mathematica Vietnamica
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A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma
Phan Thành Nampp. 75-81
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.