%0 Journal Article
%T Riesz Transform on the Dual of the Laguerre Hypergroup
%A Mohamed Nejib Lazhari
%A Taieb Ahmed
%J Journal of Mathematics Research
%D 2012
%I 
%R 10.5539/jmr.v4n3p50
%X In this paper, we define the Riesz transform on the dual of the Laguerre hypergroup associated with Plancherel measure and we give some properties for this transform. Also we investigate $L^p$-boundedness of this operator and under this definition, the higher order Riesz transform is given. Moreover we establish that the Riesz transform can be extended as a principal value singular integral operator and it is a multiplier operator under the Fourier transform.
%U http://www.ccsenet.org/journal/index.php/jmr/article/view/15513