Curious properties of canonical divisors in weighted Bergman spaces
Complex Variables
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0406369,
title = {Curious properties of canonical divisors in weighted Bergman spaces},
author = {Alexandru Aleman and Haakan Hedenmalm and Stefan Richter and Carl Sundberg},
journal= {arXiv preprint arXiv:math/0406369},
year = {2007}
}
Comments
9 pages