Asymptotic values and the growth of analytic functions in spiral domains.

Brennan, James E., and Volberg, Alexander L.. "Asymptotic values and the growth of analytic functions in spiral domains.." Publicacions Matemàtiques 37.2 (1993): 465-477. <http://eudml.org/doc/41541>.

@article{Brennan1993,
abstract = {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.},
author = {Brennan, James E., Volberg, Alexander L.},
journal = {Publicacions Matemàtiques},
keywords = {Funciones analíticas; Comportamiento asintótico; Función subarmónica; MacLane class; asymptotic value},
language = {eng},
number = {2},
pages = {465-477},
title = {Asymptotic values and the growth of analytic functions in spiral domains.},
url = {http://eudml.org/doc/41541},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Brennan, James E.
AU - Volberg, Alexander L.
TI - Asymptotic values and the growth of analytic functions in spiral domains.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 2
SP - 465
EP - 477
AB - 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.
LA - eng
KW - Funciones analíticas; Comportamiento asintótico; Función subarmónica; MacLane class; asymptotic value
UR - http://eudml.org/doc/41541
ER -