Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator Sf is bounded if and only if f∈L∞, and Sf=f∞. We also obtain that the dual Toeplitz operator...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1679173 |
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| author | Li He Biqian Wu |
| author_facet | Li He Biqian Wu |
| author_sort | Li He |
| collection | DOAJ |
| description | In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator Sf is bounded if and only if f∈L∞, and Sf=f∞. We also obtain that the dual Toeplitz operator with L∞ symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere. |
| format | Article |
| id | doaj-art-097236aee28146fe930c5691cdaa4b84 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-097236aee28146fe930c5691cdaa4b842025-08-20T02:03:15ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1679173Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev SpaceLi He0Biqian Wu1School of Mathematics and Information ScienceSchool of Mathematics and Information ScienceIn this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator Sf is bounded if and only if f∈L∞, and Sf=f∞. We also obtain that the dual Toeplitz operator with L∞ symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere.http://dx.doi.org/10.1155/2023/1679173 |
| spellingShingle | Li He Biqian Wu Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space Journal of Mathematics |
| title | Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space |
| title_full | Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space |
| title_fullStr | Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space |
| title_full_unstemmed | Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space |
| title_short | Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space |
| title_sort | dual toeplitz operators on the orthogonal complement of the fock sobolev space |
| url | http://dx.doi.org/10.1155/2023/1679173 |
| work_keys_str_mv | AT lihe dualtoeplitzoperatorsontheorthogonalcomplementofthefocksobolevspace AT biqianwu dualtoeplitzoperatorsontheorthogonalcomplementofthefocksobolevspace |