Publication details
Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Journal de Mathématiques Pures et Appliquées |
| MU Faculty or unit | |
| Citation | |
| web | https://www.sciencedirect.com/science/article/pii/S0021782424000965 |
| Doi | http://dx.doi.org/10.1016/j.matpur.2024.103598 |
| Keywords | Schrödinger operator; Semiclassical estimates; Cwikel-Lieb-Rozenblum inequality; Singular potentials |
| Description | We prove a Cwikel–Lieb–Rozenblum type inequality for the number of negative eigenvalues of the Hardy–Schrödinger operator -?-(d-2)2/(4|x|2)-W(x) on L2(Rd). The bound is given in terms of a weighted Ld/2-norm of W which is sharp in both large and small coupling regimes. We also obtain a similar bound for the fractional Laplacian. |
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