99 citations · 403 across the 43 of their papers we have counts for
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math.AP2006★ 36 cited
Many Particle Hardy-Inequalities
M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, A. Laptev +1
In this paper we prove three differenttypes of the so-called many-particle Hardy inequalities. One of them is a "classical type" which is valid in any dimesnion . The seco…
math-ph2006★ 99 cited
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
Rupert L. Frank, Ari Laptev, Elliott H. Lieb +1
Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.
math.FA2006★ 1 cited
Hardy inequalities for simply connected planar domains
Ari Laptev, Alexander V. Sobolev
In 1986 A. Ancona showed, using the Koebe one-quarter Theorem, that for a simply-connected planar domain the constant in the Hardy inequality with the distance to the boundary is g…