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arXiv · 1501.04918

A density property for fractional weighted Sobolev spaces

Serena Dipierro·Enrico Valdinoci
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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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Serena Dipierro, Enrico Valdinoci. 2015-01-20. A density property for fractional weighted Sobolev spaces. https://arxiv.org/abs/1501.04918

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