• Media type: Text; E-Article
  • 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/10.4171/rlm/712
  • Keywords: article ; Weighted fractional Sobolev spaces -- density properties
  • Origination:
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  • Description: 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.