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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1997-01-01
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Online Access: | http://dx.doi.org/10.1155/S1025583497000039 |
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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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1725101459543949312 |