3 citations · 4 across the 18 of their papers we have counts for
24 papers
Well-posedness and global existence for Hardy--Hénon parabolic equations in Herz spaces
Douadi Drihem
In this paper, we study the Hardy-Hénon parabolic equation \begin{equation*} \partial_t u=Δu+a|x|^{-γ}|u|^βu, \qquad t>0,\; x\in\mathbb{R}^{n}\setminus\{0\}, \quad β>0,\; a\in\math…
Duality of Triebel-Lizorkin spaces of general weights
Douadi Drihem
In this paper, we identify the duals of Triebel-Lizorkin spaces of generalized smoothness. In some particular cases these function spaces are just weighted Triebel-Lizorkin spaces.…
Powers functions in Besov spaces of power weights. Necessary conditions
Douadi Drihem
The aim of this paper is to present some necessary conditions for the boundedness of the mapping on Besov spaces equipped with power weights.
Mixed multiplication of Besov and Triebel-Lizorkin spaces
Douadi Drihem
This paper is concerned with proving some embeddings of the form \begin{equation*} F_{p_{1},q}^{s_{1}}\cdot B_{p_{2},\infty }^{s_{2}}\cdot ...\cdot B_{p_{m},\infty }^{s_{m}}\hookri…
On the function spaces of general weights
Douadi Drihem
The aim of this paper is twofold. Firstly, we chatacterize the Besov spaces and the Triebel-Lizorkin spaces $\dot{F}_{p,q}(\mathbb{R}^{n},…
Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations
Douadi Drihem
Let be a continuous function. In the first part of this paper, we investigate sufficient conditions on such that \begin{equation*} \{G(f):f\in \dot{…