Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes. (11th March 2021)

• Record Type: Journal Article
• Authors: Ahmed, A. El-Sayed; Omran, S.
• Other Names: Tao Shuangping Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6653455
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Some characterizations of Q K, ω p, 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 Q K, ω p, 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.