One-dimensional integral Rellich type inequalities

Fuente: arXiv
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Autori principali: Ozawa, Tohru, Roychowdhury, Prasun, Suragan, Durvudkhan
Natura: Preprint
Pubblicazione: 2023
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author Ozawa, Tohru
Roychowdhury, Prasun
Suragan, Durvudkhan
author_facet Ozawa, Tohru
Roychowdhury, Prasun
Suragan, Durvudkhan
contents The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result. Meanwhile, the established sharp Rellich type integral inequality seems new.
format Preprint
id arxiv_https___arxiv_org_abs_2301_11638
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle One-dimensional integral Rellich type inequalities
Ozawa, Tohru
Roychowdhury, Prasun
Suragan, Durvudkhan
Functional Analysis
Classical Analysis and ODEs
26D10, 35A23
The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result. Meanwhile, the established sharp Rellich type integral inequality seems new.
title One-dimensional integral Rellich type inequalities
topic Functional Analysis
Classical Analysis and ODEs
26D10, 35A23
url https://arxiv.org/abs/2301.11638