Improvement of the discrete Hardy inequality

Fuente: arXiv
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Autori principali: Roychowdhury, Prasun, Suragan, Durvudkhan
Natura: Preprint
Pubblicazione: 2022
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author Roychowdhury, Prasun
Suragan, Durvudkhan
author_facet Roychowdhury, Prasun
Suragan, Durvudkhan
contents We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on discrete analogues of symmetric decreasing rearrangement techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2209_05288
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Improvement of the discrete Hardy inequality
Roychowdhury, Prasun
Suragan, Durvudkhan
Functional Analysis
We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl. Our arguments build on certain weighted inequalities based on discrete analogues of symmetric decreasing rearrangement techniques.
title Improvement of the discrete Hardy inequality
topic Functional Analysis
url https://arxiv.org/abs/2209.05288