In this paper, we discuss potentials for which we obtain multipolar weighted Hardy-type inequalities for a class of weights that are wide enough. Examples of such potentials are shown. The weighted estimates are more general than those stated in previous papers. To obtain the inequalities, we prove an integral identity by introducing a suitable vector-valued function.
A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles / Canale, Anna; Tarantino, Ciro. - In: MATHEMATICS. - ISSN 2227-7390. - 13:1(2025), pp. 1-8. [10.3390/math13010021]
A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles
Tarantino, Ciro
2025
Abstract
In this paper, we discuss potentials for which we obtain multipolar weighted Hardy-type inequalities for a class of weights that are wide enough. Examples of such potentials are shown. The weighted estimates are more general than those stated in previous papers. To obtain the inequalities, we prove an integral identity by introducing a suitable vector-valued function.File in questo prodotto:
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