The norm of pre-Schwarzian derivatives of certain analytic functions with bounded positive real part

Abstract

For real numbers 0 < 1 and > 1 we dene the univalent functionin the unit disk which maps on to the strip domain ! with < Re ! < .In this paper we give the best estimates for the norm of the pre-Schwarzianderivative Tf (z) =f00(z)f0 (z)where kTf k = supjzj<1