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Removable sets for Sobolev spaces

Pekka Koskela Department of Mathematics, University of Jyväskylä

TBD mathscidoc:1701.332917

Arkiv for Matematik, 37, (2), 291-304, 1997.5
We study removable sets for the Sobolev space$W$^{1,p}. We show that removability for sets lying in a hyperplane is essentially determined by their thickness measured in terms of a concept of$p$-porosity.
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@inproceedings{pekka1997removable,
  title={Removable sets for Sobolev spaces},
  author={Pekka Koskela},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203556191389726},
  booktitle={Arkiv for Matematik},
  volume={37},
  number={2},
  pages={291-304},
  year={1997},
}
Pekka Koskela. Removable sets for Sobolev spaces. 1997. Vol. 37. In Arkiv for Matematik. pp.291-304. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203556191389726.
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