On some fractional order hardy inequalities

On some fractional order hardy inequalities

Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered....

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Main Authors: Lars-Erik Persson, Alois Kufner, Hans P. Heinig
Format: Article
Language:English
Published: SpringerOpen 1997-01-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy inequality; weight function; fractional order derivative.
Online Access:http://dx.doi.org/10.1155/S1025583497000039
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spelling doaj-8b894eb5fa4a44c6b936f08c5db7b7142020-11-25T01:28:28ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-0111254610.1155/S1025583497000039On some fractional order hardy inequalitiesLars-Erik PerssonAlois KufnerHans P. HeinigWeighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.http://dx.doi.org/10.1155/S1025583497000039Hardy inequality; weight function; fractional order derivative.
collection DOAJ
language English
format Article
sources DOAJ
author Lars-Erik Persson
Alois Kufner
Hans P. Heinig
spellingShingle Lars-Erik Persson
Alois Kufner
Hans P. Heinig
On some fractional order hardy inequalities
Journal of Inequalities and Applications
Hardy inequality; weight function; fractional order derivative.
author_facet Lars-Erik Persson
Alois Kufner
Hans P. Heinig
author_sort Lars-Erik Persson
title On some fractional order hardy inequalities
title_short On some fractional order hardy inequalities
title_full On some fractional order hardy inequalities
title_fullStr On some fractional order hardy inequalities
title_full_unstemmed On some fractional order hardy inequalities
title_sort on some fractional order hardy inequalities
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 1997-01-01
description Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of this type are proved and applied. In particular, the general mixed norm case and a general twodimensional weight are considered. Moreover, an Orlicz norm version and a multidimensional fractional order Hardy inequality are proved. The connections to related results are pointed out.
topic Hardy inequality; weight function; fractional order derivative.
url http://dx.doi.org/10.1155/S1025583497000039
work_keys_str_mv AT larserikpersson onsomefractionalorderhardyinequalities
AT aloiskufner onsomefractionalorderhardyinequalities
AT hanspheinig onsomefractionalorderhardyinequalities
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