On the improvement of the Hardy inequality due to singular magnetic fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00344232" target="_blank" >RIV/68407700:21340/20:00344232 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/03605302.2020.1763399" target="_blank" >https://doi.org/10.1080/03605302.2020.1763399</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2020.1763399" target="_blank" >10.1080/03605302.2020.1763399</a>

Result language
angličtina
Original language name
On the improvement of the Hardy inequality due to singular magnetic fields
Original language description
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 inequality that takes into account both the dimensional as well as the magnetic flux contributions. Second, in the three-dimensional Euclidean space, we derive a non-trivial magnetic Hardy inequality for a magnetic field that vanishes at infinity and diverges along a plane.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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