Curious properties of canonical divisors in weighted Bergman spaces

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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.
9 pages

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Complex Variables, 30D60; 30H05; 31A05

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http://salesiana.dossiersoluciones.com/handle/123456789/71603

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406369
 http://arxiv.org/abs/math/0406369
 Entire functions in modern analysis (Tel-Aviv, 1997), pp. 1--10, Israel Math. Conf. Proc., 15, Bar-Ilan Univ., Ramat Gan, 2001

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arXiv