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math.FA2024
Theory of capacities in fracional Sobolev spaces with variable exponents
Azeddine Baalal, Mohamed Berghout
In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relativ…
math.FA2024
Some approximation properties in fractional Musielak-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
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, Se…
math.FA2024
Density properties for fractional Musielak-Sobolev spaces
EL-Houcine Ouali, Azeddine Baalal, Mohamed Berghout
In this paper, we introduce a new fractional Musielak-Sobolev space where is an open subset in RN and we show some density properties of smooth and compactly su…