99 citations · 403 across the 43 of their papers we have counts for
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math.SP2018
On the improvement of the Hardy inequality due to singular magnetic fields
Luca Fanelli, David Krejcirik, Ari Laptev +1
We establish magnetic improvements upon the classical Hardy inequality for two specific choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all dimen…
math.AP2018
Lieb--Thirring inequalities on the sphere
Alexei Ilyin, Ari Laptev
We prove on the sphere the Lieb--Thirring inequalities for orthonormal families of scalar and vector functions both on the whole sphere and on proper domains on $\ma…
math.AP2018★ 10 cited
Magnetic rings
Jean Dolbeault, Maria Esteban, Ari Laptev +1
We study functional and spectral properties of perturbations of the magnetic Laplace operator on the circle. This operator appears when considering the restriction to the unit circ…