Bounded harmonic maps
Differential Geometry
2023-08-29 v2
Abstract
The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmonic maps.
Cite
@article{arxiv.2303.16673,
title = {Bounded harmonic maps},
author = {Yves Benoist and Dominique Hulin},
journal= {arXiv preprint arXiv:2303.16673},
year = {2023}
}