%0 Journal Article %T Dunkl Translation and Uncentered Maximal Operator on the Real Line %A Chokri Abdelkefi %A Mohamed Sifi %J International Journal of Mathematics and Mathematical Sciences %D 2007 %I Hindawi Publishing Corporation %R 10.1155/2007/87808 %X We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1,1). As a consequence, we obtain the Lp-boundedness of this operator for 1<p≤ %U http://www.hindawi.com/journals/ijmms/2007/087808/abs/