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Curious properties of canonical divisors in weighted Bergman spaces

Alexandru Aleman·Haakan Hedenmalm·Stefan Richter·Carl Sundberg
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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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Alexandru Aleman, Haakan Hedenmalm, Stefan Richter, Carl Sundberg. 2004-06-18. Curious properties of canonical divisors in weighted Bergman spaces. https://arxiv.org/abs/math/0406369

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