Curious properties of canonical divisors in weighted Bergman spaces

Details Curious properties of canonical divisors in weighted Bergman spaces Curious properties of canonical divisors in weighted Bergman spaces

2004-06-18

arxiv.org/abs/math/0406369v1

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

Mathematics

Complex Variables

9 pages

Scientific paper

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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