Schatten class operators on exponential weighted Bergman spaces
Abstract In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces. For 0 < p < ∞ $0< p<\infty $ , we obtain sufficient and necessary conditions for Toeplitz and Hankel operators to belong to Schatten-p class by the averaging functions of symbols. For a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03031-y |
| _version_ | 1827707735195516928 |
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| author | Xiaofeng Wang Jin Xia Youqi Liu |
| author_facet | Xiaofeng Wang Jin Xia Youqi Liu |
| author_sort | Xiaofeng Wang |
| collection | DOAJ |
| description | Abstract In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces. For 0 < p < ∞ $0< p<\infty $ , we obtain sufficient and necessary conditions for Toeplitz and Hankel operators to belong to Schatten-p class by the averaging functions of symbols. For a continuous increasing convex function h, the Schatten-h class Toeplitz and Hankel operators are also characterized. |
| first_indexed | 2024-03-10T16:51:43Z |
| format | Article |
| id | doaj.art-5136a13120d74a72b1532b5b6dfabe6d |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-10T16:51:43Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-5136a13120d74a72b1532b5b6dfabe6d2023-11-20T11:16:10ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-10-012023112610.1186/s13660-023-03031-ySchatten class operators on exponential weighted Bergman spacesXiaofeng Wang0Jin Xia1Youqi Liu2School of Mathematics and Information Science, Guangzhou UniversitySchool of Mathematics and Information Science, Guangzhou UniversitySchool of Mathematics and Statistics, Chongqing Technology and Business UniversityAbstract In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces. For 0 < p < ∞ $0< p<\infty $ , we obtain sufficient and necessary conditions for Toeplitz and Hankel operators to belong to Schatten-p class by the averaging functions of symbols. For a continuous increasing convex function h, the Schatten-h class Toeplitz and Hankel operators are also characterized.https://doi.org/10.1186/s13660-023-03031-yExponential weighted Bergman spacesToeplitz operatorsHankel operatorsSchatten class |
| spellingShingle | Xiaofeng Wang Jin Xia Youqi Liu Schatten class operators on exponential weighted Bergman spaces Journal of Inequalities and Applications Exponential weighted Bergman spaces Toeplitz operators Hankel operators Schatten class |
| title | Schatten class operators on exponential weighted Bergman spaces |
| title_full | Schatten class operators on exponential weighted Bergman spaces |
| title_fullStr | Schatten class operators on exponential weighted Bergman spaces |
| title_full_unstemmed | Schatten class operators on exponential weighted Bergman spaces |
| title_short | Schatten class operators on exponential weighted Bergman spaces |
| title_sort | schatten class operators on exponential weighted bergman spaces |
| topic | Exponential weighted Bergman spaces Toeplitz operators Hankel operators Schatten class |
| url | https://doi.org/10.1186/s13660-023-03031-y |
| work_keys_str_mv | AT xiaofengwang schattenclassoperatorsonexponentialweightedbergmanspaces AT jinxia schattenclassoperatorsonexponentialweightedbergmanspaces AT youqiliu schattenclassoperatorsonexponentialweightedbergmanspaces |