Multiplication Operator with BMO Symbols and Berezin Transform
We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/754646 |
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| _version_ | 1832551926703587328 |
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| author | Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan |
| author_facet | Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan |
| author_sort | Xue Feng |
| collection | DOAJ |
| description | We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball. |
| format | Article |
| id | doaj-art-0d4bbdd18c264eac99f133055402a02c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0d4bbdd18c264eac99f133055402a02c2025-02-03T06:00:04ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/754646754646Multiplication Operator with BMO Symbols and Berezin TransformXue Feng0Kan Zhang1Jianguo Dong2Xianmin Liu3Chi Guan4College of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaWe discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.http://dx.doi.org/10.1155/2015/754646 |
| spellingShingle | Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan Multiplication Operator with BMO Symbols and Berezin Transform Journal of Function Spaces |
| title | Multiplication Operator with BMO Symbols and Berezin Transform |
| title_full | Multiplication Operator with BMO Symbols and Berezin Transform |
| title_fullStr | Multiplication Operator with BMO Symbols and Berezin Transform |
| title_full_unstemmed | Multiplication Operator with BMO Symbols and Berezin Transform |
| title_short | Multiplication Operator with BMO Symbols and Berezin Transform |
| title_sort | multiplication operator with bmo symbols and berezin transform |
| url | http://dx.doi.org/10.1155/2015/754646 |
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