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A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles

Author

Listed:
  • Anna Canale

    (Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, Italy)

  • Ciro Tarantino

    (Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, Italy)

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.

Suggested Citation

  • Anna Canale & Ciro Tarantino, 2024. "A Class of Potentials in Weighted Hardy-Type Inequalities with a Finite Number of Poles," Mathematics, MDPI, vol. 13(1), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:13:y:2024:i:1:p:21-:d:1553140
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