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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |