A density property for fractional weighted Sobolev spaces

2015/01/20 by Dipierro, Serena, Valdinoci, Enrico · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1501.04918

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.

Cited by

• Best constants for Hardy inequalities in Triebel--Lizorkin spaces
• Fractional Sobolev logarithmic inequalities

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