A density property for fractional weighted Sobolev spaces

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Date
2015
Volume
2073
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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.

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Citation
Dipierro, S., & Valdinoci, E. (2015). A density property for fractional weighted Sobolev spaces. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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