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...
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2024-12-01
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| author | Anna Canale Ciro Tarantino |
| author_facet | Anna Canale Ciro Tarantino |
| author_sort | Anna Canale |
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| description | 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. |
| format | Article |
| id | doaj-art-28fa6ae77f6c424cb651a400ae83a644 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-28fa6ae77f6c424cb651a400ae83a6442025-01-10T13:17:59ZengMDPI AGMathematics2227-73902024-12-011312110.3390/math13010021A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of PolesAnna Canale0Ciro Tarantino1Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, ItalyDipartimento di Scienze Economiche e Statistiche, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, ItalyIn 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.https://www.mdpi.com/2227-7390/13/1/21multipolar Hardy-type inequalityweight functionsKolmogorov operators |
| spellingShingle | Anna Canale Ciro Tarantino A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles Mathematics multipolar Hardy-type inequality weight functions Kolmogorov operators |
| title | A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles |
| title_full | A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles |
| title_fullStr | A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles |
| title_full_unstemmed | A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles |
| title_short | A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles |
| title_sort | class of potentials in weighted hardy type inequalities with a finite number of poles |
| topic | multipolar Hardy-type inequality weight functions Kolmogorov operators |
| url | https://www.mdpi.com/2227-7390/13/1/21 |
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