JournalsjemsVol. 10, No. 3pp. 739–755

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

  • Tomas Ekholm

    Royal Institute of Technology, Stockholm, Sweden
  • Rupert L. Frank

    Caltech, Pasadena, United States
Lieb–Thirring inequalities on the half-line with critical exponent cover
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Abstract

We consider a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin and show that moments of its negative eigenvalues can be estimated by the part of the potential that is larger than the critical Hardy weight. The estimate is valid for the critical value of the moment parameter.

Cite this article

Tomas Ekholm, Rupert L. Frank, Lieb–Thirring inequalities on the half-line with critical exponent. J. Eur. Math. Soc. 10 (2008), no. 3, pp. 739–755

DOI 10.4171/JEMS/128