Some characterizations of weighted holomorphic function classes by univalent function classes (Q2024579)

Summary: Some characterizations of \(Q_{K,\omega} (p,q)\)-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 \(Q_{K,\omega} (p,q)\)-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.