Schrödinger operators with l l/2w(Rl) -potentials

Abstract

Some remarks on the evolution of a Schrödinger particle in an attractive 1/r 2 potential

On Weighted Fractional Integral Inequalities

“…We refer to [2] for a review focusing on best constants. See also for example [4] and [10]. The new instance in [12] is the case *>nÂ2.…”

“…Moreover if the inequality in (5) is strict, we may include various positive quadratic forms on the right of (4). The latter case is the instance we refer to as the weighted positivity.…”

L p -weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups

“…For a more complete description, we refer the reader to the book [1], but also to the papers [21][22][23]. We also quote [16,17,26], where the role of the Lorentz spaces in studying variational problems with singular potentials in the Euclidean setting is emphasized.…”

Pitt's inequality with sharp convolution estimates

“…I would like to thank Michael Perelmuter for drawing my attention to the work of Herbst [15] and the paper [16] where the spectral properties of Schrödinger operators acting on L p spaces are studied.…”