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

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...

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Veröffentlicht in:arXiv.org 2023-04
Hauptverfasser: Huang, Yi C, Shi, Fuping
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Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422