Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel
The authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: where , , and with . The authors prove that is bounded on Herz type space and -Central Morrey space with , which is an open problem for .
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/431692 |
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| _version_ | 1832550730022518784 |
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| author | Xiao Yu Shanzhen Lu |
| author_facet | Xiao Yu Shanzhen Lu |
| author_sort | Xiao Yu |
| collection | DOAJ |
| description | The authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: where , , and with . The authors prove that is bounded on Herz type space and -Central Morrey space with , which is an open problem for . |
| format | Article |
| id | doaj-art-d6b314b60d5649dcae8d6419409e0c95 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d6b314b60d5649dcae8d6419409e0c952025-02-03T06:06:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/431692431692Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough KernelXiao Yu0Shanzhen Lu1Department of Mathematics, Shangrao Normal University, Shangrao 334001, ChinaSchool of Mathematical Science, Beijing Normal University, Beijing 100875, ChinaThe authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: where , , and with . The authors prove that is bounded on Herz type space and -Central Morrey space with , which is an open problem for .http://dx.doi.org/10.1155/2013/431692 |
| spellingShingle | Xiao Yu Shanzhen Lu Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel Abstract and Applied Analysis |
| title | Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel |
| title_full | Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel |
| title_fullStr | Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel |
| title_full_unstemmed | Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel |
| title_short | Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel |
| title_sort | boundedness for a class of generalized commutators of fractional hardy operators with a rough kernel |
| url | http://dx.doi.org/10.1155/2013/431692 |
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