Lower bounds for Schrödinger operators in H¹(ℝ)
Volume 132 / 1999
Studia Mathematica 132 (1999), 79-89
DOI: 10.4064/sm-132-1-79-89
Abstract
We prove trace inequalities of type $||u'||^2_{L^2} + ∑_{j∈ℤ} k_{j} |u(a_j)|^2 ≥ λ ||u||^2_{L^2}$ where $u ∈ H^1(ℝ)$, under suitable hypotheses on the sequences ${a_j}_{j∈ℤ}$ and ${k_j}_{j∈ℤ}$, with the first sequence increasing and the second bounded.
