3 papers
math.FA2026
Multiplication properties and the Rellich-Kondrachov theorem in Herz-type Sobolev spaces
Douadi Drihem
In this paper, we prove that Herz-type Sobolev spaces form a Banach algebra and establish a Rellich--Kondrachov compactness theorem for these spaces. These results extend the corre…
math.FA2026
Mixed-norm Herz-type Besov-Triebel-Lizorkin spaces
Douadi Drihem
Based on mixed-norm Herz spaces, we introduce the classes of mixed-norm Herz-type Besov and Triebel-Lizorkin spaces. We establish their -transform characterization in the sense…
math.FA2024
Lorentz Herz-type Besov-Triebel-Lizorkin spaces
Douadi Drihem
In this paper, we introduce a new family of function spaces of Besov and Triebel-Lizorkin type. We present the -transform characterization of these spaces in the sense of Frazi…