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