Some approximation properties in fractional Musielak-Sobolev spaces

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 b...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Baalal, Azeddine, Berghout, Mohamed, EL-Houcine Ouali
Format: Article
Language:English
Subjects:
Sobolev space
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422