Curious properties of canonical divisors in weighted Bergman spaces
classification
🧮 math.CV
keywords
bergmankernelpropertiesweightedsubspaceabovecanonicalcurious
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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.
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