Arkiv för Matematik

, Volume 37, Issue 2, pp 291–304 | Cite as

Removable sets for Sobolev spaces

  • Pekka Koskela


We study removable sets for the Sobolev spaceW1,p. We show that removability for sets lying in a hyperplane is essentially determined by their thickness measured in terms of a concept ofp-porosity.


Sobolev Space 
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© Institut Mittag-Leffler 1999

Authors and Affiliations

  • Pekka Koskela
    • 1
  1. 1.Department of MathematicsUniversity of JyväskyläJyväskyläFinland

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