A representation for the reproducing kernel of a weighted Bergman space
Complex Variables
2023-09-07 v2
Abstract
For a weight function in the unit disk which is the modulus of a finite product of powers of Blaschke factors, we give a canonical representation for the reproducing kernel of the corresponding weighted Bergman space in terms of the values of the kernel and its derivatives at the origin. This yields a formula for the contractive zero divisor of a Bergman space corresponding to a finite zero set.
Keywords
Cite
@article{arxiv.2212.08118,
title = {A representation for the reproducing kernel of a weighted Bergman space},
author = {Erwin Miña-Díaz},
journal= {arXiv preprint arXiv:2212.08118},
year = {2023}
}