A density property for fractional weighted Sobolev spaces

Serena Dipierro; Enrico Valdinoci

doi:10.4171/RLM/712

A density property for fractional weighted Sobolev spaces

Serena Dipierro, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

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.

Original language	English
Pages (from-to)	397-422
Number of pages	26
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	26
Issue number	4
DOIs	https://doi.org/10.4171/RLM/712
Publication status	Published - 1 Jan 2015
Externally published	Yes

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10.4171/RLM/712

https://arxiv.org/pdf/1501.04918.pdf

Cite this

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A density property for fractional weighted Sobolev spaces

Abstract

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