Work

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

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math13010021

Authors: Anna Canale, Ciro Tarantino

Institutions: University of Salerno, University of Naples Federico II

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"