Area integrals for normal and Yosida functions (Q1076843)

The aim of the article under review is to find necessary and sufficient conditions on a function f meromorphic in \(D=\{| z| <1\}\) in order that it be a normal function \[ (i.e.\quad \sup_{z\in D}(1-| z|^ 2)\frac{| f'(z)|}{1+| f(z)|^ 2}<\infty) \] or a Yosida function \[ (i.e.\quad \sup_{z\in D}\frac{| f'(z)|}{1+| f(z)|^ 2}<\infty). \]