A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles
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.
Authors
- Ciro Tarantino (ORCID: https://orcid.org/0000-0002-5691-0770)
- Anna Canale (ORCID: https://orcid.org/0000-0003-4808-2888)
Institutions
- University of Salerno (IT)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-25
- DOI
- https://doi.org/10.3390/math13010021
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"