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Dipierro, Serena [Author]; Valdinoci, Enrico [Author]

A density property for fractional weighted Sobolev spaces

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  • Media type: Report; E-Book; Text
  • Title: A density property for fractional weighted Sobolev spaces
  • Contributor: Dipierro, Serena [Author]; Valdinoci, Enrico [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2015
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2073
  • Keywords: article ; 35A15 ; Weighted fractional Sobolev spaces -- density properties ; 46E35
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: Abstract. In this paper we show a density property for fractional weighted Sobolev spaces. That is, we prove that any function in a fractional weighted Sobolev space can be approximated by a smooth function with compact support. The additional difficulty in this nonlocal setting is caused by the fact that the weights are not necessarily translation invariant.