Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces
One-weight inequalities with general weights for Riemann-Liouville transform and n-dimensional fractional integral operator in variable exponent Lebesgue spaces defined on Rn are investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these op...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/621857 |
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| _version_ | 1849414989685719040 |
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| author | Muhammad Sarwar Ghulam Murtaza Irshaad Ahmed |
| author_facet | Muhammad Sarwar Ghulam Murtaza Irshaad Ahmed |
| author_sort | Muhammad Sarwar |
| collection | DOAJ |
| description | One-weight inequalities with general weights for Riemann-Liouville transform and n-dimensional fractional integral operator in variable exponent Lebesgue spaces defined on Rn are investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these operators on the cone of nonnegative decreasing functions in Lp(x) spaces. |
| format | Article |
| id | doaj-art-6a40af81a8da479bb162e716739ced6f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6a40af81a8da479bb162e716739ced6f2025-08-20T03:33:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/621857621857Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) SpacesMuhammad Sarwar0Ghulam Murtaza1Irshaad Ahmed2Department of Mathematics, University of Malakand, Chakdara, Lower Dir 18800, PakistanDepartment of Mathematics, GC University, Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, GC University, Faisalabad, Faisalabad 38000, PakistanOne-weight inequalities with general weights for Riemann-Liouville transform and n-dimensional fractional integral operator in variable exponent Lebesgue spaces defined on Rn are investigated. In particular, we derive necessary and sufficient conditions governing one-weight inequalities for these operators on the cone of nonnegative decreasing functions in Lp(x) spaces.http://dx.doi.org/10.1155/2014/621857 |
| spellingShingle | Muhammad Sarwar Ghulam Murtaza Irshaad Ahmed Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces Abstract and Applied Analysis |
| title | Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces |
| title_full | Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces |
| title_fullStr | Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces |
| title_full_unstemmed | Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces |
| title_short | Riemann-Liouville and Higher Dimensional Hardy Operators for NonNegative Decreasing Function in Lp(·) Spaces |
| title_sort | riemann liouville and higher dimensional hardy operators for nonnegative decreasing function in lp · spaces |
| url | http://dx.doi.org/10.1155/2014/621857 |
| work_keys_str_mv | AT muhammadsarwar riemannliouvilleandhigherdimensionalhardyoperatorsfornonnegativedecreasingfunctioninlpspaces AT ghulammurtaza riemannliouvilleandhigherdimensionalhardyoperatorsfornonnegativedecreasingfunctioninlpspaces AT irshaadahmed riemannliouvilleandhigherdimensionalhardyoperatorsfornonnegativedecreasingfunctioninlpspaces |