Toeplitz-Superposition Operators on Analytic Bloch Spaces
The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets. Minutely, we have deeply discusse...
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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/10.1155/2021/5546833 |
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| author | M. A. Bakhit A. El-Sayed Ahmed |
| author_facet | M. A. Bakhit A. El-Sayed Ahmed |
| author_sort | M. A. Bakhit |
| collection | DOAJ |
| description | The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets. Minutely, we have deeply discussed the conditions for boundedness of this new type of operators between certain types of some holomorphic Bloch classes with some specific values of the weighted functions. |
| format | Article |
| id | doaj-art-0928bb683a9b44598acf846ad1c374be |
| 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-0928bb683a9b44598acf846ad1c374be2025-02-03T01:29:20ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55468335546833Toeplitz-Superposition Operators on Analytic Bloch SpacesM. A. Bakhit0A. El-Sayed Ahmed1Faculty of Science, Math. Dept, Jazan University, Jazan, Saudi ArabiaMathematics Department, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThe important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets. Minutely, we have deeply discussed the conditions for boundedness of this new type of operators between certain types of some holomorphic Bloch classes with some specific values of the weighted functions.http://dx.doi.org/10.1155/2021/5546833 |
| spellingShingle | M. A. Bakhit A. El-Sayed Ahmed Toeplitz-Superposition Operators on Analytic Bloch Spaces Journal of Function Spaces |
| title | Toeplitz-Superposition Operators on Analytic Bloch Spaces |
| title_full | Toeplitz-Superposition Operators on Analytic Bloch Spaces |
| title_fullStr | Toeplitz-Superposition Operators on Analytic Bloch Spaces |
| title_full_unstemmed | Toeplitz-Superposition Operators on Analytic Bloch Spaces |
| title_short | Toeplitz-Superposition Operators on Analytic Bloch Spaces |
| title_sort | toeplitz superposition operators on analytic bloch spaces |
| url | http://dx.doi.org/10.1155/2021/5546833 |
| work_keys_str_mv | AT mabakhit toeplitzsuperpositionoperatorsonanalyticblochspaces AT aelsayedahmed toeplitzsuperpositionoperatorsonanalyticblochspaces |