Convergence speed of weighted Bergman kernels towards extremal functions
Complex Variables
2017-05-23 v1
Abstract
We construct inner products by the Bernstein-Markov inequality on spaces of holomorphic sections of high powers of a line bundle. The corresponding weighted Bergman kernel functions converge to an extremal function. We obtain a uniform convergence speed.
Cite
@article{arxiv.1705.07656,
title = {Convergence speed of weighted Bergman kernels towards extremal functions},
author = {Guokuan Shao},
journal= {arXiv preprint arXiv:1705.07656},
year = {2017}
}
Comments
11 pages