Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes
Some characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript. Moreover, the action of the pre-Schwarzian derivatives on QK,ωp,q− type classes, typically the univalent ones by using conce...
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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/10.1155/2021/6653455 |
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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 | Some characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript. Moreover, the action of the pre-Schwarzian derivatives on QK,ωp,q− type classes, typically the univalent ones by using concerned Carleson-type measures, is investigated. In addition, we reveal important characterizations of some concerned weighted analytic-type spaces with the known Schwarzian derivatives evolving certain Q−type of concerned function class for a high utility toward practical and feasible application of concerned domains. |
| format | Article |
| id | doaj-art-7514eb46d2a343929e34aa6d7e007784 |
| 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-7514eb46d2a343929e34aa6d7e0077842025-02-03T05:52:58ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66534556653455Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function ClassesA. 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, EgyptSome characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript. Moreover, the action of the pre-Schwarzian derivatives on QK,ωp,q− type classes, typically the univalent ones by using concerned Carleson-type measures, is investigated. In addition, we reveal important characterizations of some concerned weighted analytic-type spaces with the known Schwarzian derivatives evolving certain Q−type of concerned function class for a high utility toward practical and feasible application of concerned domains.http://dx.doi.org/10.1155/2021/6653455 |
| spellingShingle | A. El-Sayed Ahmed S. Omran Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes Journal of Function Spaces |
| title | Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes |
| title_full | Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes |
| title_fullStr | Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes |
| title_full_unstemmed | Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes |
| title_short | Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes |
| title_sort | some characterizations of weighted holomorphic function classes by univalent function classes |
| url | http://dx.doi.org/10.1155/2021/6653455 |
| work_keys_str_mv | AT aelsayedahmed somecharacterizationsofweightedholomorphicfunctionclassesbyunivalentfunctionclasses AT somran somecharacterizationsofweightedholomorphicfunctionclassesbyunivalentfunctionclasses |