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Lieb-Thirring inequalities on the half-line with critical exponent

Ekholm, Tomas LU and Frank, Rupert L (2008) In Journal of the European Mathematical Society 10(3). p.739-755
Abstract
We consider the operator -d(2)/dr(2) - V in L-2(R+) with Dirichlet boundary condition at the origin. For the moments of its negative eigenvalues we prove the bound [GRAPHICS] for any alpha is an element of [0, 1) and gamma >= (1 - alpha)/2. This includes a Lieb-Thirring inequality in the critical endpoint case.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the European Mathematical Society
volume
10
issue
3
pages
739 - 755
publisher
European Mathematical Society Publishing House
external identifiers
  • wos:000257869200006
  • scopus:48549096314
ISSN
1435-9855
language
English
LU publication?
yes
id
8e4a3b39-2a84-45ab-ae80-f37edda4b654 (old id 1253860)
alternative location
http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=10&iss=3&rank=6
date added to LUP
2008-11-07 14:40:18
date last changed
2017-01-01 05:49:01
@article{8e4a3b39-2a84-45ab-ae80-f37edda4b654,
  abstract     = {We consider the operator -d(2)/dr(2) - V in L-2(R+) with Dirichlet boundary condition at the origin. For the moments of its negative eigenvalues we prove the bound [GRAPHICS] for any alpha is an element of [0, 1) and gamma >= (1 - alpha)/2. This includes a Lieb-Thirring inequality in the critical endpoint case.},
  author       = {Ekholm, Tomas and Frank, Rupert L},
  issn         = {1435-9855},
  language     = {eng},
  number       = {3},
  pages        = {739--755},
  publisher    = {European Mathematical Society Publishing House},
  series       = {Journal of the European Mathematical Society},
  title        = {Lieb-Thirring inequalities on the half-line with critical exponent},
  volume       = {10},
  year         = {2008},
}