The Bergman kernel and projection on non-smooth worm domains
Complex Variables
2007-06-27 v1 Analysis of PDEs
Abstract
This paper provides a precise asymptotic expansion for the Bergman kernel on the non-smooth worm domains of Christer Kiselman in complex 2-space. Applications are given to the failure of Condition R, to deviant boundary behavior of the kernel, and to L^p mapping properties of the kernel.
Keywords
Cite
@article{arxiv.0706.3708,
title = {The Bergman kernel and projection on non-smooth worm domains},
author = {Steven G. Krantz and Marco M. Peloso},
journal= {arXiv preprint arXiv:0706.3708},
year = {2007}
}