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