Curious properties of canonical divisors in weighted Bergman spaces
  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. 
Alexandru Aleman, Haakan Hedenmalm, Stefan Richter, Carl Sundberg