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arXiv · 2407.12191

Some approximation properties in fractional Musielak-Sobolev spaces

Azeddine Baalal·Mohamed Berghout·EL-Houcine Ouali
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Abstract

In this article, we show some density properties of smooth and compactly supported functions in fractional Musielak-Sobolev spaces essentially extending the results of Fiscella, Servadei, and Valdinoci obtained in the fractional Sobolev setting. The proofs of these properties are mainly based on a basic technique of convolution, joined with a cutoff, with some care needed in order not to exceed the original support.

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Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali. 2024-07-16. Some approximation properties in fractional Musielak-Sobolev spaces. https://arxiv.org/abs/2407.12191

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