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Curious properties of canonical divisors in weighted Bergman spaces

2004/06/18 by Alexandru Aleman, Haakan Hedenmalm, Stefan Richter +1
Mathematics · #math.CV #msc:30D60 #msc:30H05 #msc:31A05

paper · pdf

published as Entire functions in modern analysis (Tel-Aviv, 1997), pp. 1--10, Israel Math. Conf. Proc., 15, Bar-Ilan Univ., Ramat Gan, 2001 · 9 pages

arxiv created 2004/06/18 · arxiv updated 2009/12/01

Abstract

We study properties of the weighted Bergman hernel on the unit disk. As we restrict to the subspace of all functions that vanish at a given point, we obtain the reproducing kernel for the subspace from the above weighted Bergman kernel via a simple formula. Division properties of this new kernel are studied.

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