On the Zeros of Functions in the Bers Space
Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 185
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We present some results on the distribution of zeros of
functions in the Bers space $Q(\mathbb{D})$, showing how the
distribution depends on the bounds of the growth of $|f(z)|$ as $|z|\to1$,
for $f\in Q(\mathbb{D})$. We also exhibit an open and dense subset,
$M\subset Q(\mathbb{D})$, which has the property of uniform control
over the number of zeros in disks of hyperbolic radius 1 contained in
$\mathbb{D}$.
Classification :
30C15 30F30
Keywords: Bers space
Keywords: Bers space
@article{PIM_2004_N_S_75_89_a14,
author = {A. Fletcher and V. Markovi\'c},
title = {On the {Zeros} of {Functions} in the {Bers} {Space}},
journal = {Publications de l'Institut Math\'ematique},
pages = {185 },
year = {2004},
volume = {_N_S_75},
number = {89},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2004_N_S_75_89_a14/}
}
A. Fletcher; V. Marković. On the Zeros of Functions in the Bers Space. Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 185 . http://geodesic.mathdoc.fr/item/PIM_2004_N_S_75_89_a14/