This paper contains a method to associate to each function f in the little Bloch space another function f* in the Bloch space in such way that f has a finite angular limit where f* is radially bounded. The idea of the method comes from the theory of lacunary series. An application to conformal mapping from the unit disc to asymptotically Jordan domains is given.
@article{urn:eudml:doc:41056,
title = {On the angular limits of Bloch functions.},
journal = {Publicacions Matem\`atiques},
volume = {32},
year = {1988},
pages = {191-198},
zbl = {0655.30021},
mrnumber = {MR0975898},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41056}
}
Carmona, Joan J.; Cufi, Julià; Pommerenke, Christian. On the angular limits of Bloch functions.. Publicacions Matemàtiques, Tome 32 (1988) pp. 191-198. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41056/