Resumen de Lieb-Thirring inequalities with improved constants
Jean Dolbeault 
, Ari Laptev, Michael Loss
Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrödinger operators
