WIAS Preprint No. 2073, (2015)
A density property for fractional weighted Sobolev spaces
Authors
- Dipierro, Serena
- Valdinoci, Enrico
ORCID: 0000-0001-6222-2272
2010 Mathematics Subject Classification
- 46E35 35A15
Keywords
- Weighted fractional Sobolev spaces, density properties
DOI
Abstract
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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