Products of Toeplitz Operators on the 2-Analytic Bergman Space
Let f and g be bounded functions, and let Tf and Tg be Toeplitz operators on A22D. We show that if the product TfTg equals zero and one of f and g is a radial function satisfying a Mellin transform condition, then the other function must be zero.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6227981 |
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| _version_ | 1832560570934493184 |
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| author | Bo Zhang Yixin Yang Yufeng Lu |
| author_facet | Bo Zhang Yixin Yang Yufeng Lu |
| author_sort | Bo Zhang |
| collection | DOAJ |
| description | Let f and g be bounded functions, and let Tf and Tg be Toeplitz operators on A22D. We show that if the product TfTg equals zero and one of f and g is a radial function satisfying a Mellin transform condition, then the other function must be zero. |
| format | Article |
| id | doaj-art-ff95d66810a648489ebf72aacd62e9be |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ff95d66810a648489ebf72aacd62e9be2025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/62279816227981Products of Toeplitz Operators on the 2-Analytic Bergman SpaceBo Zhang0Yixin Yang1Yufeng Lu2School of Mathematics and Information Sciences, Yantai University, Yantai 264005, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaLet f and g be bounded functions, and let Tf and Tg be Toeplitz operators on A22D. We show that if the product TfTg equals zero and one of f and g is a radial function satisfying a Mellin transform condition, then the other function must be zero.http://dx.doi.org/10.1155/2021/6227981 |
| spellingShingle | Bo Zhang Yixin Yang Yufeng Lu Products of Toeplitz Operators on the 2-Analytic Bergman Space Journal of Function Spaces |
| title | Products of Toeplitz Operators on the 2-Analytic Bergman Space |
| title_full | Products of Toeplitz Operators on the 2-Analytic Bergman Space |
| title_fullStr | Products of Toeplitz Operators on the 2-Analytic Bergman Space |
| title_full_unstemmed | Products of Toeplitz Operators on the 2-Analytic Bergman Space |
| title_short | Products of Toeplitz Operators on the 2-Analytic Bergman Space |
| title_sort | products of toeplitz operators on the 2 analytic bergman space |
| url | http://dx.doi.org/10.1155/2021/6227981 |
| work_keys_str_mv | AT bozhang productsoftoeplitzoperatorsonthe2analyticbergmanspace AT yixinyang productsoftoeplitzoperatorsonthe2analyticbergmanspace AT yufenglu productsoftoeplitzoperatorsonthe2analyticbergmanspace |