@article{1622,
  abstract     = {We prove analogues of the Lieb–Thirring and Hardy–Lieb–Thirring inequalities for many-body quantum systems with fractional kinetic operators and homogeneous interaction potentials, where no anti-symmetry on the wave functions is assumed. These many-body inequalities imply interesting one-body interpolation inequalities, and we show that the corresponding one- and many-body inequalities are actually equivalent in certain cases.},
  author       = {Lundholm, Douglas and Nam, Phan and Portmann, Fabian},
  journal      = {Archive for Rational Mechanics and Analysis},
  number       = {3},
  pages        = {1343 -- 1382},
  publisher    = {Springer},
  title        = {{Fractional Hardy–Lieb–Thirring and related Inequalities for interacting systems}},
  doi          = {10.1007/s00205-015-0923-5},
  volume       = {219},
  year         = {2016},
}