## Annals of Functional Analysis

### Density properties for fractional Sobolev spaces with variable exponents

#### Abstract

In this article we show some density properties of smooth and compactly supported functions in fractional Sobolev spaces with variable exponents. The additional difficulty in this nonlocal setting is caused by the fact that the variable exponent Lebesgue spaces are not translation-invariant.

#### Article information

Source
Ann. Funct. Anal., Volume 10, Number 3 (2019), 308-324.

Dates
Accepted: 5 November 2018
First available in Project Euclid: 6 August 2019

https://projecteuclid.org/euclid.afa/1565078417

Digital Object Identifier
doi:10.1215/20088752-2018-0031

Mathematical Reviews number (MathSciNet)
MR3989177

Zentralblatt MATH identifier
07089119

#### Citation

Baalal, Azeddine; Berghout, Mohamed. Density properties for fractional Sobolev spaces with variable exponents. Ann. Funct. Anal. 10 (2019), no. 3, 308--324. doi:10.1215/20088752-2018-0031. https://projecteuclid.org/euclid.afa/1565078417

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