WEIGHTED DISCRETE HARDY'S INEQUALITIES

Pascal Lefèvre (1)

1 LML - Laboratoire de Mathématiques de Lens

The purpose of this note is to give a short proof of a weighted version of the Hardy's inequality in the sequence case. This includes the known case of classical polynomial weights, with optimal constant. The proof relies on the ideas of the short direct proof given recently in [6].

Domaines: Analyse fonctionnelle [math.FA]

Pascal Lefèvre. WEIGHTED DISCRETE HARDY'S INEQUALITIES. 2020. ⟨hal-02528265⟩