On the dual space of a weighted Bergman space on the unit ball of Cn
The weighted Bergman space Aαp(Bn)(0<p<1), of the holomorphic functions on the unit ball Bn of Cn forms an F-space. We find the dual space of Aαp(Bn) by determining its Mackey topology.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000535 |
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| _version_ | 1832547431582007296 |
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| author | J. S. Choa H. O. Kim |
| author_facet | J. S. Choa H. O. Kim |
| author_sort | J. S. Choa |
| collection | DOAJ |
| description | The weighted Bergman space Aαp(Bn)(0<p<1), of the holomorphic functions on the unit ball Bn of Cn forms an F-space. We find the dual space of Aαp(Bn) by determining its Mackey topology. |
| format | Article |
| id | doaj-art-572931276fb248ccae95b7ba71194b36 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-572931276fb248ccae95b7ba71194b362025-02-03T06:44:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111345746410.1155/S0161171288000535On the dual space of a weighted Bergman space on the unit ball of CnJ. S. Choa0H. O. Kim1Department of Applied Mathematics, KAIST, P.O. Box 150, Cheongryang, Seoul, KoreaDepartment of Applied Mathematics, KAIST, P.O. Box 150, Cheongryang, Seoul, KoreaThe weighted Bergman space Aαp(Bn)(0<p<1), of the holomorphic functions on the unit ball Bn of Cn forms an F-space. We find the dual space of Aαp(Bn) by determining its Mackey topology.http://dx.doi.org/10.1155/S0161171288000535Hardy spaceBergman spaceMackey topology. |
| spellingShingle | J. S. Choa H. O. Kim On the dual space of a weighted Bergman space on the unit ball of Cn International Journal of Mathematics and Mathematical Sciences Hardy space Bergman space Mackey topology. |
| title | On the dual space of a weighted Bergman space on the unit ball of Cn |
| title_full | On the dual space of a weighted Bergman space on the unit ball of Cn |
| title_fullStr | On the dual space of a weighted Bergman space on the unit ball of Cn |
| title_full_unstemmed | On the dual space of a weighted Bergman space on the unit ball of Cn |
| title_short | On the dual space of a weighted Bergman space on the unit ball of Cn |
| title_sort | on the dual space of a weighted bergman space on the unit ball of cn |
| topic | Hardy space Bergman space Mackey topology. |
| url | http://dx.doi.org/10.1155/S0161171288000535 |
| work_keys_str_mv | AT jschoa onthedualspaceofaweightedbergmanspaceontheunitballofcn AT hokim onthedualspaceofaweightedbergmanspaceontheunitballofcn |