PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 75(89), pp. 185–197 (2004) 

ON THE ZEROS OF FUNCTIONS IN THE BERS SPACEA. Fletcher and V. MarkovicMathematics Institute, University of Warwick, Coventry, CV4 7AL, United KingdomAbstract: 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 (MSC2000): 30C15; 30F30 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
