The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn
In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1) of the unit ball and give an equivalent fo...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/343578 |
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| _version_ | 1832553485971750912 |
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| author | Luo Luo Yang Xuemei |
| author_facet | Luo Luo Yang Xuemei |
| author_sort | Luo Luo |
| collection | DOAJ |
| description | In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the
unit ball that generalizes the classical Hankel operator. In this paper, we estimate the
essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1)
of the unit ball and give an equivalent form of the essential norm. |
| format | Article |
| id | doaj-art-9c5edadfcffb4a0ca5a749dd9b0cd010 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9c5edadfcffb4a0ca5a749dd9b0cd0102025-02-03T05:53:54ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/343578343578The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in CnLuo Luo0Yang Xuemei1Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, ChinaDepartment of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, ChinaIn 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1) of the unit ball and give an equivalent form of the essential norm.http://dx.doi.org/10.1155/2010/343578 |
| spellingShingle | Luo Luo Yang Xuemei The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn Abstract and Applied Analysis |
| title | The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn |
| title_full | The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn |
| title_fullStr | The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn |
| title_full_unstemmed | The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn |
| title_short | The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn |
| title_sort | essential norm of the generalized hankel operators on the bergman space of the unit ball in cn |
| url | http://dx.doi.org/10.1155/2010/343578 |
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