# On the Domains of Bessel Operators

@article{Derezinski2021OnTD, title={On the Domains of Bessel Operators}, author={Jan Derezi'nski and Vladimir Georgescu}, journal={Annales Henri Poincar{\'e}}, year={2021} }

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## 7 Citations

Quantum confinement for the curvature Laplacian $-\Delta+cK$ on 2D-almost-Riemannian manifolds

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Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local orthonormal frame…

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The problem of determining the domain of the closure of the Laplace-Beltrami operator on a 2D almost-Riemannian manifold is considered. Using tools from theory of Lie groupoids natural domains of…

On domain properties of Bessel-type operators

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Motivated by a recent study of Bessel operators in connection with a refinement of Hardy’s inequality involving 1/ sin(x) on the finite interval (0, π), we now take a closer look at the underlying…

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The principal aim of this paper is to employ Bessel-type operators in proving the inequality

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The heat equation with inverse square potential on both half-lines of R is discussed in the presence of bridging boundary conditions at the origin. The problem is the lowest energy (zero-momentum)…

Perturbed Bessel operators

- Mathematics
- 2021

We study perturbed Bessel operators Lm2 = −∂ 2 x + (m 2 − 1 4 ) 1 x2 + Q(x) on L]0,∞[, where m ∈ C and Q is a complex locally integrable potential. Assuming that Q is integrable near ∞ and x 7→ xQ(x)…

Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds

- MathematicsPotential Analysis
- 2021

Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local orthonormal frame…

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