Lower bounds for Schrödinger operators in H¹(ℝ)

Pouliquen, Ronan. "Lower bounds for Schrödinger operators in H¹(ℝ)." Studia Mathematica 132.1 (1999): 79-89. <http://eudml.org/doc/216587>.

@article{Pouliquen1999,
abstract = {We prove trace inequalities of type $||u^\{\prime \}||^2_\{L^2\} + ∑_\{j∈ℤ\} k_\{j\} |u(a_j)|^2 ≥ λ ||u||^2_\{L^2\}$ 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.},
author = {Pouliquen, Ronan},
journal = {Studia Mathematica},
keywords = {trace inequalities},
language = {eng},
number = {1},
pages = {79-89},
title = {Lower bounds for Schrödinger operators in H¹(ℝ)},
url = {http://eudml.org/doc/216587},
volume = {132},
year = {1999},
}

TY - JOUR
AU - Pouliquen, Ronan
TI - Lower bounds for Schrödinger operators in H¹(ℝ)
JO - Studia Mathematica
PY - 1999
VL - 132
IS - 1
SP - 79
EP - 89
AB - We prove trace inequalities of type $||u^{\prime }||^2_{L^2} + ∑_{j∈ℤ} k_{j} |u(a_j)|^2 ≥ λ ||u||^2_{L^2}$ 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.
LA - eng
KW - trace inequalities
UR - http://eudml.org/doc/216587
ER -