Computational Methods and Function Theory 8 (2008), No. 1, 277--284
Copyright Heldermann Verlag 2008
Daniel Girela
girela@uma.es , Universidad de Málaga, Campus de Teatinos, Departamento de Análisis Matemático, 29071 Málaga, Spain.
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.
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