Weighted Bergman kernel functions associated to meromorphic functions
Complex Variables
2013-09-20 v1
Abstract
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with weight the modulus squared of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the domain and a concrete formula for the unweighted kernel is known. We apply this theory to the study of the Lu Qi-keng Problem.
Cite
@article{arxiv.1309.4800,
title = {Weighted Bergman kernel functions associated to meromorphic functions},
author = {Robert Jacobson},
journal= {arXiv preprint arXiv:1309.4800},
year = {2013}
}
Comments
11 pages