Dimension estimate for the two-sided points of planar Sobolev extension domains
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 W1,p-extension domain for 1<p<2. Sharpness of the estimate is shown by examples. We also prove the equivalence of different definitions of two-sided points.
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