Asymptotic values and the growth of analytic functions in spiral domains.
Brennan, James E. ; Volberg, Alexander L.
Publicacions Matemàtiques, Tome 37 (1993), p. 465-477 / Harvested from Biblioteca Digital de Matemáticas
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In this note we present a simple proof of a theorem of Hornblower which characterizes those functions analytic in the open unit disk having asymptotic values at a dense set in the boundary. Our method is based on a kind of ∂-mollification and may be of use in other problems as well.

Publié le : 1993-01-01
DMLE-ID : 4050 
@article{urn:eudml:doc:41541,
     title = {Asymptotic values and the growth of analytic functions in spiral domains.},
     journal = {Publicacions Matem\`atiques},
     volume = {37},
     year = {1993},
     pages = {465-477},
     mrnumber = {MR1249244},
     zbl = {0798.30021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41541}
}

Brennan, James E.; Volberg, Alexander L. Asymptotic values and the growth of analytic functions in spiral domains.. Publicacions Matemàtiques, Tome 37 (1993) pp. 465-477. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41541/