An equivalence theorem for integral conditions related to Hardy's inequality
type: Item
instance of: scholarly article
title: An equivalence theorem for integral conditions related to Hardy's inequality
zbMATH Open document ID: 1070.26015
author: Alois Kufner
author: Lars-Erik Persson
author: Anna Wedestig
author: Amiran Gogatishvili
published in: Real Analysis Exchange
publication date: 2005-04-04T00:00:00Z
review text: Motivated by different characterizations of Hardy's inequality with general weights, the authors establish four scales of integral conditions and prove their equivalence. Results are applied to obtain new characterizations of the Hardy inequality and to prove new characterizations of embeddings between Lorentz spaces.
reviewed by: Bohumír Opic
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 2151951
zbMATH Keywords: Hardy inequalities
zbMATH Keywords: weights
zbMATH Keywords: scales of weight characterizations
zbMATH Keywords: equivalent integral conditions
zbMATH Keywords: Lorentz spaces
zbMATH Keywords: embeddings
MaRDI profile type: Publication
full work available at URL: realanalexch.29.2.0867
OpenAlex ID: W1481197180
DOI: 10.14321/REALANALEXCH.29.2.0867
description: scientific article; zbMATH DE number 2151951