English

Rellich type inequalities on the half line in the framework of equalities

Classical Analysis and ODEs 2023-04-04 v1 Functional Analysis

Abstract

We establish in this paper some weighted Hardy and Rellich type inequalities on the half line in the framework of equalities, extending recent results proved by Machihara-Ozawa-Wadade and Bez-Machihara-Ozawa. In particular, the one-dimensional classical Rellich inequality is proved in the framework of equality.

Keywords

Cite

@article{arxiv.2304.01061,
  title  = {Rellich type inequalities on the half line in the framework of equalities},
  author = {Yi C. Huang and Fuping Shi},
  journal= {arXiv preprint arXiv:2304.01061},
  year   = {2023}
}