The Hardy space for a certain subclass of Bazilevič functions

Abstract

In the present sequel to a recent paper by Kim and Sugawa [Y.C. Kim, T. Sugawa, Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions, Proc. Edinburgh Math. Soc. (Ser. 2) 49 (2006) 131–143], the authors introduce and investigate a general class of Bazilevič functions, which is defined by using the principle of subordination between analytic functions. They also determine the Hardy space to which this subclass of Bazilevič functions belongs under various parametric constraints.