Some new iterated Hardy-type inequalities
type: Item
instance of: scholarly article
title: Some new iterated Hardy-type inequalities
zbMATH Open document ID: 1260.26023
DOI: 10.1155/2012/734194
author: Amiran Gogatishvili
author: Lars-Erik Persson
author: R. Mustafayev
published in: Journal of Function Spaces and Applications
publication date: 2013-02-05T00:00:00Z
review text: Summary: We characterize the validity of the Hardy-type inequality \(||\, || \int^\infty_s h(z)dz ||_{p, u, (0, t)} ||_{q, w, (0, \infty)} \leq c ||h||_{\theta, v(0, \infty)}\), where \(0 < p < \infty\), \(0 < q \leq \infty\), \(1 < \theta \leq \infty\), \(u\), \(w\) and \(v\) are weight functions on \((0, \infty)\). Some fairly new discretizing and antidiscretizing techniques of independent interest are used.
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 6134548
zbMATH Keywords: Hardy-type inequality
zbMATH Keywords: discretizing and antidiscretizing techniques
Wikidata QID: Q58908380
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/734194
OpenAlex ID: W2110608772
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description: scientific article; zbMATH DE number 6134548