The asymptotic behavior of the Bergman kernel on pseudoconvex model domains
Complex Variables
2023-08-17 v1 Classical Analysis and ODEs
Abstract
In this paper, we investigate the asymptotic behavior of the Bergman kernel at the boundary for some pseudoconvex model domains. This behavior can be described by the geometrical information of the Newton polyhedron of the defining function of the respective domains. We deal with not only the finite type cases but also some infinite type cases.
Keywords
Cite
@article{arxiv.2308.08249,
title = {The asymptotic behavior of the Bergman kernel on pseudoconvex model domains},
author = {Joe Kamimoto},
journal= {arXiv preprint arXiv:2308.08249},
year = {2023}
}