19 citations · 21 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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 suppo…
On the Continuous embeddings between the fractional Hajłasz-Orlicz-Sobolev spaces
Azeddine Baalal, Mohamed Berghout, EL-Houcine Ouali
Let be an Orlicz function and let be positive real numbers. Under certain conditions on the Orlicz function , we establish some continuous embeddings results be…
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…
Trace and extension operators for fractional Sobolev spaces with variable exponent
Azeddine Baalal, Mohamed Berghout
We show that, under certain regularity assumptions, there exists a linear extension operator.