4 papers
Embedding theorems for Herz-Type Sobolev spaces on domains
Douadi Drihem
In this paper, we further investigate the properties of Herz-type Sobolev spaces on domains, which unify and generalize the classical Sobolev spaces. In particular, we establish se…
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…
Mixed-norm Herz-type Besov spaces
Douadi Drihem
In this paper, we introduce mixed-norm Herz-type Besov spaces and establish their -transform characterization in the sense of Frazier and Jawerth. We also prove Sobolev embeddin…
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 Frazie…