# Lower bounds for Schrödinger operators in H¹(ℝ)

Studia Mathematica (1999)

- Volume: 132, Issue: 1, page 79-89
- ISSN: 0039-3223

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topPouliquen, 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 -

## References

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