A density property for fractional weighted Sobolev spaces
- Dipierro, Serena
- Valdinoci, Enrico
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.
- Rend. Lincei Mat. Appl., 26 (2015) pp. 397--422.