Equivalence of Sobolev inequalities and Lieb-Thirring inequalities

Abstract

We show that, under very general definitions of a kinetic energy operator $T$, the Lieb-Thirring inequalities for sums of eigenvalues of $T-V$ can be derived from the Sobolev inequality appropriate to that choice of $T$.

13 pages; contribution to the proceedings of the XVI International Congress on Mathematical Physics, Prague, 2009

References in corpus (1)

• A simple proof of Hardy-Lieb-Thirring inequalities

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