The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space
In this paper, we study the boundedness of commutator [b,T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/203934 |
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| _version_ | 1832564977589813248 |
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| author | Canqin Tang Chuanmei Bi |
| author_facet | Canqin Tang Chuanmei Bi |
| author_sort | Canqin Tang |
| collection | DOAJ |
| description | In this paper, we study the boundedness of commutator [b,T]
of Riesz transform associated with Schrödinger operator and b is BMO type
function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained. |
| format | Article |
| id | doaj-art-9ac8809218b74aed8e612e29f19bcde2 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-9ac8809218b74aed8e612e29f19bcde22025-02-03T01:09:48ZengWileyJournal of Function Spaces and Applications0972-68022009-01-017324125010.1155/2009/203934The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy spaceCanqin Tang0Chuanmei Bi1Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, 116026, ChinaDepartment of Mathematics, Dalian Maritime University, Dalian, Liaoning, 116026, ChinaIn this paper, we study the boundedness of commutator [b,T] of Riesz transform associated with Schrödinger operator and b is BMO type function, note that the kernel of T has no smoothness, and the boundedness from Hb1(Rn)→L1(Rn) is obtained.http://dx.doi.org/10.1155/2009/203934 |
| spellingShingle | Canqin Tang Chuanmei Bi The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space Journal of Function Spaces and Applications |
| title | The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space |
| title_full | The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space |
| title_fullStr | The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space |
| title_full_unstemmed | The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space |
| title_short | The boundedness of commutator of Riesz transform associated with Schrödinger operators on a Hardy space |
| title_sort | boundedness of commutator of riesz transform associated with schrodinger operators on a hardy space |
| url | http://dx.doi.org/10.1155/2009/203934 |
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