A. Laptev and T. Weidl
Sharp Lieb-Thirring Inequalities in High Dimensions
(60K, LaTeX2e)

ABSTRACT.  We show how a matrix version of the Buslaev-Faddeev-Zakharov 
trace formulae for a one-dimensional Schr\"odinger operator 
leads to Lieb-Thirring inequalities with sharp constants 
$L^{\mbox{\footnotesize\upshape cl}}_{\gamma,d}$ with 
$\gamma\ge 3/2$ and arbitrary $d\ge 1$. 
(revised, to appear in Acta Math)