WIAS Preprint No. 2073, (2015)

A density property for fractional weighted Sobolev spaces


  • Dipierro, Serena
  • Valdinoci, Enrico
    ORCID: 0000-0001-6222-2272

2010 Mathematics Subject Classification

  • 46E35 35A15


  • Weighted fractional Sobolev spaces, density properties




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.

Appeared in

  • Rend. Lincei Mat. Appl., 26 (2015) pp. 397--422.

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