A characterization of Möbius transformations.
The function (p ∈ ℕ = 1,2,3,...) analytic in the unit disk E is said to be in the class if (, where and h is convex univalent in E with h(0) = 1. We study the class and investigate whether the inclusion relation holds for p > 1. Some coefficient estimates for the class are also obtained. The class of functions satisfying the condition is also studied.
This article provided some sufficient or necessary conditions for a class of integral operators to be bounded on mixed norm spaces in the unit ball.