arXiv subjects

Safa Chabchoub

Publications and source records attributed to Safa Chabchoub.

3 recordsLinked to original sources

arXiv2017

Uncentered maximal function for elliptic partial differential operator

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 for the Weinstein translation of characteristic function of a closed ball with radius " centered at 0 on the upper half space. Second, we prove weak-type L1-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain that is bounded on Lp for p>1.

math.FA↗

arXiv2017

Approximation theorems connected with differential-difference operator

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 formula. More precisely, we prove some properties and estimates of the integral remainder in the generalized Taylor formula associated to the Dunkl operator on the real line and we describe the Besov-type spaces for which the remainder has a given order.

math.FA↗

arXiv2016

Generalized Taylor formula with integral remainder for Besov-Dunkl spaces

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 line and to describe the Besov-Dunkl spaces for which the remainder has a given order.

math.FA↗