Quasibounded plurisubharmonic functions
Complex Variables
2025-05-08 v1
Abstract
We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set.
Cite
@article{arxiv.2005.09505,
title = {Quasibounded plurisubharmonic functions},
author = {Mårten Nilsson and Frank Wikström},
journal= {arXiv preprint arXiv:2005.09505},
year = {2025}
}