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math.AP2025
A unified approach to Hardy-type inequalities with Bessel pairs
Lucrezia Cossetti, Lorenzo D'Arca
In this paper, we provide suitable characterisations of pairs of weights known as Bessel pairs, that ensure the validity of weighted Hardy-type inequalities. The abstract…
math.SP2025
On the point spectrum of electromagnetic Dirac operators
Naiara Arrizabalaga, Lucrezia Cossetti, Matias Morales
In this work, we develop the method of multipliers for electromagnetic Dirac operators and establish sufficient conditions on the magnetic and electric fields that guarantee the ab…