Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights
In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0<p<∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h-Schatten class, where h is...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/9436300 |
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| _version_ | 1832546583014539264 |
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| author | Xuedi Ma Xiaofeng Wang Jin Xia |
| author_facet | Xuedi Ma Xiaofeng Wang Jin Xia |
| author_sort | Xuedi Ma |
| collection | DOAJ |
| description | In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0<p<∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h-Schatten class, where h is a continuous increasing convex function. |
| format | Article |
| id | doaj-art-1fdf40d6624c42ba900b035c1ac6ba16 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1fdf40d6624c42ba900b035c1ac6ba162025-02-03T06:47:42ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/9436300Fredholm and Schatten Class Operators on Bergman Spaces with Exponential WeightsXuedi Ma0Xiaofeng Wang1Jin Xia2School of Mathematics and Information ScienceSchool of Mathematics and Information ScienceSchool of Mathematics and Information ScienceIn this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces Aφp with exponential weights in D when 0<p<∞. Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on Aφ2 belong to h-Schatten class, where h is a continuous increasing convex function.http://dx.doi.org/10.1155/2023/9436300 |
| spellingShingle | Xuedi Ma Xiaofeng Wang Jin Xia Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights Journal of Function Spaces |
| title | Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights |
| title_full | Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights |
| title_fullStr | Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights |
| title_full_unstemmed | Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights |
| title_short | Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights |
| title_sort | fredholm and schatten class operators on bergman spaces with exponential weights |
| url | http://dx.doi.org/10.1155/2023/9436300 |
| work_keys_str_mv | AT xuedima fredholmandschattenclassoperatorsonbergmanspaceswithexponentialweights AT xiaofengwang fredholmandschattenclassoperatorsonbergmanspaceswithexponentialweights AT jinxia fredholmandschattenclassoperatorsonbergmanspaceswithexponentialweights |