Commuting Toeplitz operators and H-Toeplitz operators on Bergman space
In this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols. For the general case, it seems very hard. As an extension to the study of Toeplitz operat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024125?viewType=HTML |
| _version_ | 1797353703142850560 |
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| author | Qian Ding |
| author_facet | Qian Ding |
| author_sort | Qian Ding |
| collection | DOAJ |
| description | In this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols. For the general case, it seems very hard. As an extension to the study of Toeplitz operators on the Bergman space, we present the necessary and sufficient conditions of the commutativity of the H-Toeplitz operator and the Toeplitz operator with non-harmonic symbols. |
| first_indexed | 2024-03-08T13:34:52Z |
| format | Article |
| id | doaj.art-ecd6a436f52442cf9db8ebb6abe69161 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T13:34:52Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ecd6a436f52442cf9db8ebb6abe691612024-01-17T01:16:04ZengAIMS PressAIMS Mathematics2473-69882024-01-01912530254810.3934/math.2024125Commuting Toeplitz operators and H-Toeplitz operators on Bergman spaceQian Ding0School of Data Science and Artificial Intelligence, Dongbei University of Finance and Economics, Dalian, Liaoning, 116025, ChinaIn this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols. For the general case, it seems very hard. As an extension to the study of Toeplitz operators on the Bergman space, we present the necessary and sufficient conditions of the commutativity of the H-Toeplitz operator and the Toeplitz operator with non-harmonic symbols.https://www.aimspress.com/article/doi/10.3934/math.2024125?viewType=HTMLh-toeplitz operatorstoeplitz operatorsbergman space |
| spellingShingle | Qian Ding Commuting Toeplitz operators and H-Toeplitz operators on Bergman space AIMS Mathematics h-toeplitz operators toeplitz operators bergman space |
| title | Commuting Toeplitz operators and H-Toeplitz operators on Bergman space |
| title_full | Commuting Toeplitz operators and H-Toeplitz operators on Bergman space |
| title_fullStr | Commuting Toeplitz operators and H-Toeplitz operators on Bergman space |
| title_full_unstemmed | Commuting Toeplitz operators and H-Toeplitz operators on Bergman space |
| title_short | Commuting Toeplitz operators and H-Toeplitz operators on Bergman space |
| title_sort | commuting toeplitz operators and h toeplitz operators on bergman space |
| topic | h-toeplitz operators toeplitz operators bergman space |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024125?viewType=HTML |
| work_keys_str_mv | AT qianding commutingtoeplitzoperatorsandhtoeplitzoperatorsonbergmanspace |