Lieb–Thirring inequalities with improved constants

Dolbeault, Jean, Laptev, Ari, and Loss, Michael. "Lieb–Thirring inequalities with improved constants." Journal of the European Mathematical Society 010.4 (2008): 1121-1126. <http://eudml.org/doc/277275>.

@article{Dolbeault2008,
abstract = {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 multidimensional Schrödinger operators.},
author = {Dolbeault, Jean, Laptev, Ari, Loss, Michael},
journal = {Journal of the European Mathematical Society},
keywords = {Sobolev inequalities; Schrödinger operator; Lieb–Thirring inequalities; Sobolev inequalities; Schrödinger operator; Lieb-Thirring inequalities},
language = {eng},
number = {4},
pages = {1121-1126},
publisher = {European Mathematical Society Publishing House},
title = {Lieb–Thirring inequalities with improved constants},
url = {http://eudml.org/doc/277275},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Dolbeault, Jean
AU - Laptev, Ari
AU - Loss, Michael
TI - Lieb–Thirring inequalities with improved constants
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 4
SP - 1121
EP - 1126
AB - 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 multidimensional Schrödinger operators.
LA - eng
KW - Sobolev inequalities; Schrödinger operator; Lieb–Thirring inequalities; Sobolev inequalities; Schrödinger operator; Lieb-Thirring inequalities
UR - http://eudml.org/doc/277275
ER -