4 citations · 7 across the 12 of their papers we have counts for
12 papers
Besov-Dunkl Spaces connected with generalized Taylor formula on the real line
Chokri Abdelkefi, Faten Rached
In the present paper, we define for the Dunkl tranlation operators on the real line, the Besov-Dunkl space of functions for which the remainder in the generalized Taylor's formula…
Approximation theorems connected with differential-difference operator
Chokri Abdelkefi, Safa Chabchoub
In the present paper, we propose to give an extension to the context of Dunkl theory of the notion of translation and in connection with this a corresponding extension of Taylor's…
Uncentered maximal function for elliptic partial differential operator
Chokri Abdelkefi, Safa Chabchoub
The present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function. First, we establish estimates f…
Generalized Taylor formula with integral remainder for Besov-Dunkl spaces
Chokri Abdelkefi, Safa Chabchoub, Faten Rached
In the present paper, we propose to prove some properties and estimates of the integral remainder in the generalized Taylor formula associated to the Dunkl operator on the real lin…
Some results on the Hardy space H1 associated with the Dunkl operators
Chokri Abdelkefi, Mongi Rachdi
In the present paper, we investigate in Dunkl analysis, the action of some fundamental operators on the atomic Hardy space H1.
Some properties of the Riesz potentials in Dunkl analysis
Chokri Abdelkefi, Mongi Rachdi
In Dunkl theory on Rd which generalizes classical Fourier analysis, we study first the behavior at infinity of the Riesz potential of a non compactly supported function. Second, we…