%0 Journal Article %T The Littlewood-Paley g-function associated with the Riemann-Liouville operator %A Rachdi Lakhdar %A Amri Besma %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2013 %I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego %X First, we study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator. Next, we dene and study the Littlewood-Paley g-function associated with the Riemann-Liouville operator for which we prove the Lp-boundedness for p ˇĘ ]1, 2]. %U http://studmath.up.krakow.pl/index.php/studmath/article/view/122