99-229 A. Laptev and T. Weidl
Sharp Lieb-Thirring Inequalities in High Dimensions (60K, LaTeX2e) Jun 16, 99
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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)

Files: 99-229.src( 99-229.keywords , lth_sharp_high_d_Acta.tex )