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+34 946 567 842
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+34 946 567 842
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lfanelli@bcamath.org
Information of interest
- Orcid: 0000-0003-1714-1611
BCAM-UPV/EHU Researcher.
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QUANTITATIVE HARDY INEQUALITY FOR MAGNETIC HAMILTONIANS
Fanelli, L.
; Kovarík, H. (2024)
In this paper we present a new method of proof of Hardy type inequalities for two- dimensional quantum Hamiltonians with a magnetic field of finite flux. Our approach gives a quanti- tative lower bound on the best constant ...
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Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group
Fanelli, L.; Roncal, L. (2022-11-04)
We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and $L^p$ estimates involving square fractional integrals and Littlewood--Paley ...
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On the improvement of the Hardy inequality due to singular magnetic fields
Fanelli, L.; Krejčiřík, D.; Laptev, A.; Vega, L. (2020-09-01)
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 dimensions and establish a sharp Hardy-type ...
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On the improvement of the Hardy inequality due to singular magnetic fields
Fanelli, L.; Krejcirik, D.; Laptev, A.; Vega, L. (2018-07-12)
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 dimensions and establish a sharp Hardy-type ...
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On the improvement of the Hardy inequality due to singular magnetic fields
Fanelli, L.; Krejcirik, D.; Laptev, A.; Vega, L. (2018-07-12)
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 dimensions and establish a sharp Hardy-type ...
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Spectral stability of Schrödinger operators with subordinated complex potentials
Fanelli, L.; Krejcirik, D.; Vega, L. (2018-06-28)
We prove that the spectrum of Schroedinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing ...
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Absence of eigenvalues of two-dimensional magnetic Schroedinger operators
Fanelli, L.; Krejcirik, D.; Vega, L. (2018-01-01)
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point ...
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Absence of eigenvalues of two-dimensional magnetic Schr ̈odinger operators
Fanelli, L.; Krejcirik, D.; Vega, L. (2017-10-17)
By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schr ̈odinger operator possesses no point ...
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Gaussian Decay of Harmonic Oscillators and related models
Cassano, B.; Fanelli, L. (2017-05-15)
We prove that the decay of the eigenfunctions of harmonic oscillators, uniform electric or magnetic fields is not stable under 0-order complex perturbations, even if bounded, of these Hamiltonians, in the sense that we can ...
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Erratum to: Relativistic Hardy Inequalities in Magnetic Fields [J Stat Phys, 154, (2014), 866-876, DOI 10.1007/s10955-014-0915-0]
Fanelli, L.; Vega, L.; Visciglia, N. (2015-12-31)
[No abstract available]
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Relativistic Hardy Inequalities in Magnetic Fields
Fanelli, L.; Vega, L.; Visciglia, N. (2014-12-31)
We deal with Dirac operators with external homogeneous magnetic fields. Hardy-type inequalities related to these operators are investigated: for a suitable class of transversal magnetic fields, we prove a Hardy inequality ...