paper

A proof of the Lieb-Thirring inequality via the Besicovitch covering lemma

arXiv:2206.15368 · doi:10.1007/s40306-022-00490-1

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.

arXiv comment6 pages. Dedicated to Professor Duong Minh Duc on the occasion of his 70th birthday. Revised version to appear in Acta Mathematica Vietnamica

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