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arXiv · 2601.14486

Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces

Yizhe Zhu
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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.

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Yizhe Zhu. 2026-01-20. Homeomorphic Extensions in Bi-Orlicz-Sobolev Spaces. https://arxiv.org/abs/2601.14486

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