Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent
By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/257537 |
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| _version_ | 1832563350297378816 |
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| author | Liwei Wang Meng Qu Lisheng Shu |
| author_facet | Liwei Wang Meng Qu Lisheng Shu |
| author_sort | Liwei Wang |
| collection | DOAJ |
| description | By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures. |
| format | Article |
| id | doaj-art-340002a96b4e418c8d989a64f3065ba6 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-340002a96b4e418c8d989a64f3065ba62025-02-03T01:20:22ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/257537257537Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable ExponentLiwei Wang0Meng Qu1Lisheng Shu2School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, ChinaSchool of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, ChinaSchool of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, ChinaBy decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.http://dx.doi.org/10.1155/2013/257537 |
| spellingShingle | Liwei Wang Meng Qu Lisheng Shu Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent Journal of Function Spaces and Applications |
| title | Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent |
| title_full | Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent |
| title_fullStr | Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent |
| title_full_unstemmed | Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent |
| title_short | Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent |
| title_sort | higher order commutators of fractional integral operator on the homogeneous herz spaces with variable exponent |
| url | http://dx.doi.org/10.1155/2013/257537 |
| work_keys_str_mv | AT liweiwang higherordercommutatorsoffractionalintegraloperatoronthehomogeneousherzspaceswithvariableexponent AT mengqu higherordercommutatorsoffractionalintegraloperatoronthehomogeneousherzspaceswithvariableexponent AT lishengshu higherordercommutatorsoffractionalintegraloperatoronthehomogeneousherzspaceswithvariableexponent |