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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Canonical divisors in weighted Bergman spaces


Author: Rachel J. Weir
Journal: Proc. Amer. Math. Soc. 130 (2002), 707-713
MSC (2000): Primary 32A36; Secondary 33C05
Published electronically: June 20, 2001
MathSciNet review: 1866024
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Abstract: Canonical divisors in Bergman spaces can be found as solutions of extremal problems. We derive a formula for certain extremal functions in the weighted Bergman spaces $A^p_{\alpha}$ for $\alpha > -1$ and $1 \leq p < \infty$. This leads to a study of the zeros of a specific family of hypergeometric functions.


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Additional Information

Rachel J. Weir
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Address at time of publication: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: rjweir@math.lsa.umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06214-1
PII: S 0002-9939(01)06214-1
Received by editor(s): August 22, 2000
Published electronically: June 20, 2001
Additional Notes: The contents of this paper forms a part of the author’s doctoral dissertation at the University of Michigan, written under the direction of Professor Peter Duren, whose support and guidance the author gratefully acknowledges
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2001 American Mathematical Society