07-192 Jean Dolbeault, Ari Laptev, and Michael Loss

Lieb-Thirring inequalities with improved constants (15K, LaTeX) Aug 8, 07

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Abstract. Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allow us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schroedinger operators.

Files: 07-192.src( 07-192.keywords , dll240707.tex )