Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Next Article Computational Methods and Function Theory 8 (2008), No. 1, 277--284 Copyright Heldermann Verlag 2008 Non-Tangential Limits of Bloch Functions Daniel Girela girela@uma.es , Universidad de Málaga, Campus de Teatinos, Departamento de Análisis Matemático, 29071 Málaga, Spain. [Abstract-pdf] [Abstract-ps] We give a sufficient condition for a function $f$ in the little Bloch space'' $\mathcal{B}_0$ to have a finite non-tangential limit at a point $\xi$ with $| \xi| =1$. Our result can be viewed as an one-sided'' theorem of Hall type for the space $\mathcal{B}_0$. Keywords: Bloch function, non-tangential limit, asymptotic value. MSC 2000: Primary 30D40; Secondary 30D45, 31A20. [FullText-pdf (237 K)] [FullText-ps (398 K)]