Rahmouni Atef

collaborators

3 papers

math.FA2014

Fourier multipliers for Hardy spaces on Laguerre hypergroup

Rahmouni Atef

The main purpose of this paper is to give an estimate for the Fourier Laguerre transform on Hardy spaces in the setting of Laguerre hypergroup. The atomic and molecular characteriz…

math.FA2013

Paley type inequality for the Fourier transform on the Heisenberg group

Rahmouni Atef

A Paley type inequality for the Fourier transform on $H^{p} (H^{n});$ the Hardy space on the Heisenberg group, is obtained for $0 < p \leq 1.$

math.FA2013

Hardy's type inequality for the over critical exponent associated with the Dunkl transform

Rahmouni Atef

\begin{abstract} For the Hardy space $H^{p} (R^{d})$ , $0 < p \leq 1,$ we shall improve a Hardy's type inequality associated with Dunkl transform respect to the measures $dμ_{k}…