Dimension estimate for the two-sided points of planar Sobolev extension domains
Classical Analysis and ODEs
2021-06-24 v1 Functional Analysis
Abstract
In this paper we give an estimate for the Hausdorff dimension of the set of two-sided points of the boundary of bounded simply connected Sobolev -extension domain for . Sharpness of the estimate is shown by examples. We also prove the equivalence of different definitions of two-sided points.
Keywords
Cite
@article{arxiv.2106.12376,
title = {Dimension estimate for the two-sided points of planar Sobolev extension domains},
author = {Jyrki Takanen},
journal= {arXiv preprint arXiv:2106.12376},
year = {2021}
}
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12 pages