Some approximation properties in fractional Musielak-Sobolev spaces
Functional Analysis
2024-07-18 v1
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.
Cite
@article{arxiv.2407.12191,
title = {Some approximation properties in fractional Musielak-Sobolev spaces},
author = {Azeddine Baalal and Mohamed Berghout and EL-Houcine Ouali},
journal= {arXiv preprint arXiv:2407.12191},
year = {2024}
}