Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces
Complex Variables
2026-01-22 v1
Abstract
We provide a complete characterization of those self-homeomorphisms of the unit circle that admit homeomorphic extensions to the unit disk belonging to bi--Orlicz--Sobolev spaces. Our results generalize classical criteria from the Sobolev setting to the more flexible Orlicz framework.
Cite
@article{arxiv.2601.14486,
title = {Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces},
author = {Yizhe Zhu},
journal= {arXiv preprint arXiv:2601.14486},
year = {2026}
}