Canonical divisors in weighted Bergman spaces

Weir, Rachel

doi:10.1090/S0002-9939-01-06214-1

Canonical divisors in weighted Bergman spaces
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by Rachel J. Weir PDF

Proc. Amer. Math. Soc. 130 (2002), 707-713 Request permission

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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