Regularity of rooftop envelopes
Complex Variables
2026-05-05 v2
Abstract
We study continuity, H\"older regularity, and -regularity of geodesics between continuous plurisubharmonic functions on bounded domains of . We then derive regularity properties of rooftop envelopes.
Keywords
Cite
@article{arxiv.2604.18855,
title = {Regularity of rooftop envelopes},
author = {Eleonora Di Nezza and Alexander Rashkovskii},
journal= {arXiv preprint arXiv:2604.18855},
year = {2026}
}
Comments
25 pages. We removed Section 3.2 in the previous version since the non-compact version of Edwards' theorem has some issues