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EMS Press, Journal of the European Mathematical Society, p. 1121-1126, 2008

DOI: 10.4171/jems/142

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Lieb-Thirring inequalities with improved constants

Journal article published in 2008 by Jean Dolbeault ORCID, Ari Laptev, Michael Loss
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.