Two-sided boundary points of Sobolev-extension domains on Euclidean spaces
Classical Analysis and ODEs
2021-11-02 v1 Functional Analysis
Abstract
We prove an estimate on the Hausdorff-dimension of the set of two-sided boundary points of general Sobolev-extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates of this type.
Cite
@article{arxiv.2111.01079,
title = {Two-sided boundary points of Sobolev-extension domains on Euclidean spaces},
author = {Miguel García-Bravo and Tapio Rajala and Jyrki Takanen},
journal= {arXiv preprint arXiv:2111.01079},
year = {2021}
}
Comments
1 figure, 20 pages