Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains
Complex Variables
2012-10-29 v1
Abstract
Using techniques from the analysis of PDEs to study the boundary behaviour of functions on domains with low boundary regularity, we extend results by Forna\ae{}ss-Wiegerinck (1989) on plurisubharmonic approximation and by Demailly (1987) on the existence on bounded plurisubharmonic exhaustion functions to domains beyond Lipschitz boundary regularity.
Cite
@article{arxiv.1210.7105,
title = {Approximation and Bounded Plurisubharmonic Exhaustion Functions Beyond Lipschitz Domains},
author = {Benny Avelin and Lisa Hed and Håkan Persson},
journal= {arXiv preprint arXiv:1210.7105},
year = {2012}
}