On some fractional order hardy inequalities

On some fractional order hardy inequalities

<p/> <p>Weighted inequalities for fractional derivatives ( <inline-formula><graphic file="1029-242X-1997-787248-i1.gif"/></inline-formula> fractional order Hardy-type inequalities) have recently been proved in [4] and [1]. In this paper, new inequalities of th...

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Main Authors: Kufner Alois, Persson Lars-Erik, Heinig Hans P
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://www.journalofinequalitiesandapplications.com/content/1/787248
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spelling doaj-1b67ed5bbfb548cd8572d95fc0d82d502020-11-24T21:43:50ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-0119971787248On some fractional order hardy inequalitiesKufner AloisPersson Lars-ErikHeinig Hans P<p/> <p>Weighted inequalities for fractional derivatives ( <inline-formula><graphic file="1029-242X-1997-787248-i1.gif"/></inline-formula> 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.</p>http://www.journalofinequalitiesandapplications.com/content/1/787248Hardy inequalityweight functionfractional order derivative
collection DOAJ
language English
format Article
sources DOAJ
author Kufner Alois
Persson Lars-Erik
Heinig Hans P
spellingShingle Kufner Alois
Persson Lars-Erik
Heinig Hans P
On some fractional order hardy inequalities
Journal of Inequalities and Applications
Hardy inequality
weight function
fractional order derivative
author_facet Kufner Alois
Persson Lars-Erik
Heinig Hans P
author_sort Kufner Alois
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 <p/> <p>Weighted inequalities for fractional derivatives ( <inline-formula><graphic file="1029-242X-1997-787248-i1.gif"/></inline-formula> 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.</p>
topic Hardy inequality
weight function
fractional order derivative
url http://www.journalofinequalitiesandapplications.com/content/1/787248
work_keys_str_mv AT kufneralois onsomefractionalorderhardyinequalities
AT perssonlarserik onsomefractionalorderhardyinequalities
AT heinighansp onsomefractionalorderhardyinequalities
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