Integral Superposition-Type Operators on Some Analytic Function Spaces
All entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n-generalized superposition operator are characterized in this paper. Moreover, certain specific properties such as boundedness and compactness of the newly defined...
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| Main Authors: | , |
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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/10.1155/2021/5531955 |
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| _version_ | 1850167577661145088 |
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| author | A. El-Sayed Ahmed S. Omran |
| author_facet | A. El-Sayed Ahmed S. Omran |
| author_sort | A. El-Sayed Ahmed |
| collection | DOAJ |
| description | All entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n-generalized superposition operator are characterized in this paper. Moreover, certain specific properties such as boundedness and compactness of the newly defined class of generalized integral superposition operators are discussed and established by using the concerned entire functions. |
| format | Article |
| id | doaj-art-e7572e079637468eb3e2e37b0499aae3 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e7572e079637468eb3e2e37b0499aae32025-08-20T02:21:10ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55319555531955Integral Superposition-Type Operators on Some Analytic Function SpacesA. El-Sayed Ahmed0S. Omran1Mathematics Department, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaMathematics Department, Faculty of Science, South Valley University, P.O. Box 83521 Qena, EgyptAll entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n-generalized superposition operator are characterized in this paper. Moreover, certain specific properties such as boundedness and compactness of the newly defined class of generalized integral superposition operators are discussed and established by using the concerned entire functions.http://dx.doi.org/10.1155/2021/5531955 |
| spellingShingle | A. El-Sayed Ahmed S. Omran Integral Superposition-Type Operators on Some Analytic Function Spaces Journal of Function Spaces |
| title | Integral Superposition-Type Operators on Some Analytic Function Spaces |
| title_full | Integral Superposition-Type Operators on Some Analytic Function Spaces |
| title_fullStr | Integral Superposition-Type Operators on Some Analytic Function Spaces |
| title_full_unstemmed | Integral Superposition-Type Operators on Some Analytic Function Spaces |
| title_short | Integral Superposition-Type Operators on Some Analytic Function Spaces |
| title_sort | integral superposition type operators on some analytic function spaces |
| url | http://dx.doi.org/10.1155/2021/5531955 |
| work_keys_str_mv | AT aelsayedahmed integralsuperpositiontypeoperatorsonsomeanalyticfunctionspaces AT somran integralsuperpositiontypeoperatorsonsomeanalyticfunctionspaces |