August 2019 Density properties for fractional Sobolev spaces with variable exponents
Azeddine Baalal, Mohamed Berghout
Ann. Funct. Anal. 10(3): 308-324 (August 2019). DOI: 10.1215/20088752-2018-0031

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.

Citation

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Azeddine Baalal. Mohamed Berghout. "Density properties for fractional Sobolev spaces with variable exponents." Ann. Funct. Anal. 10 (3) 308 - 324, August 2019. https://doi.org/10.1215/20088752-2018-0031

Information

Received: 12 August 2018; Accepted: 5 November 2018; Published: August 2019
First available in Project Euclid: 6 August 2019

zbMATH: 07089119
MathSciNet: MR3989177
Digital Object Identifier: 10.1215/20088752-2018-0031

Subjects:
Primary: 46E35
Secondary: 35A15

Keywords: density properties , fractional Sobolev spaces with variable exponents

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.10 • No. 3 • August 2019
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