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On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space

On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space

This paper concerns the following question: given a subset [Formula: see text] of [Formula: see text] with empty interior and an integrability parameter [Formula: see text], what is the maximal regularity [Formula: see text] for which there exists a non-zero distribution in the Bessel potential Sobolev space [Formula: see text] …