Hardy-type inequalities for integral transforms associated with Jacobi operator

We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.

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Main Authors: M. Dziri, L. T. Rachdi
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.329
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author M. Dziri
L. T. Rachdi
author_facet M. Dziri
L. T. Rachdi
author_sort M. Dziri
collection DOAJ
description We establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2005-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6fbc639f72c5419db5f79133f917ee5c2025-02-03T01:10:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005332934810.1155/IJMMS.2005.329Hardy-type inequalities for integral transforms associated with Jacobi operatorM. Dziri0L. T. Rachdi1Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis, Tunis 1060, TunisiaDepartment of Mathematics, Faculty of Sciences of Tunis, University of Tunis, Tunis 1060, TunisiaWe establish Hardy-type inequalities for the Riemann-Liouville and Weyl transforms associated with the Jacobi operator by using Hardy-type inequalities for a class of integral operators.http://dx.doi.org/10.1155/IJMMS.2005.329
spellingShingle M. Dziri
L. T. Rachdi
Hardy-type inequalities for integral transforms associated with Jacobi operator
International Journal of Mathematics and Mathematical Sciences
title Hardy-type inequalities for integral transforms associated with Jacobi operator
title_full Hardy-type inequalities for integral transforms associated with Jacobi operator
title_fullStr Hardy-type inequalities for integral transforms associated with Jacobi operator
title_full_unstemmed Hardy-type inequalities for integral transforms associated with Jacobi operator
title_short Hardy-type inequalities for integral transforms associated with Jacobi operator
title_sort hardy type inequalities for integral transforms associated with jacobi operator
url http://dx.doi.org/10.1155/IJMMS.2005.329
work_keys_str_mv AT mdziri hardytypeinequalitiesforintegraltransformsassociatedwithjacobioperator
AT ltrachdi hardytypeinequalitiesforintegraltransformsassociatedwithjacobioperator