Béchir Amri

most cited

L^{p} - L^{q}

estimates for the solution of the Dunkl wave equation

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2025

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type $A_{1}$

B. Amri, A. Guesmi

In this paper, we investigate the trigonometric Heckman-Opdam polynomials of type $A_{1}$ . We establish connections with ultraspherical polynomials and derive an explicit expression…

math.CA2017★ 1 cited

$L^{p} - L^{q}$ estimates for the solution of the Dunkl wave equation

Béchir Amri, Mohamed Gaidi

In this paper, our main aim is to derive $L^{p} - L^{q}$ estimates of the solution $u_{k} (x, t)$ ( t fixed) of the Cauchy problem for the homogeneous linear wave equation associated to the…

math.CA2017

$L^{p}$ estimates for an oscillating Dunkl multiplier

Béchir Amri, Mohamed Gaidi

In this paper, we study the $L^{p}$ boundedness of a class of oscillating multiplier operator for the Dunkl transform, $T_{m_{α}} = F_{k}^{- 1} (m_{α} F_{k} (f))$ with $m(ξ)=|ξ…

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type A1​

Lp−Lq estimates for the solution of the Dunkl wave equation

Lp estimates for an oscillating Dunkl multiplier

Poisson Kernels and Hilbert Transforms for Trigonometric Heckman-Opdam Polynomials of type $A_{1}$

$L^{p} - L^{q}$ estimates for the solution of the Dunkl wave equation

$L^{p}$ estimates for an oscillating Dunkl multiplier