Degree-independent Sobolev extension on locally uniform domains

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On universal approximation and error bounds for Fourier Neural Operators (2021, methodology): “In fact, even the Lipschitz condition on the domain can be relaxed further to include all locally uniform domains using ideas from Rogers (2006); we will, however, not pursue this for simplicity of the exposition.”
Sobolev Spaces on Non-Lipschitz Subsets of Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^n$$\end{doc (2016, unknown): “…there exists a continuous extension operator Theorem 3.18]; this exists (at least for s ≥ 0) for Lipschitz Ω with bounded boundary [38, Theorem A.4], and more generally for “minimally smooth domains” [51, § VI, Theorem 5] and “( ε, δ ) locally uniform domains” [43, Deﬁnition 5 and Theorem 8].”
Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems (2012, background): “Another significant development appeared in [46] where L.”