• Boundedness of rough integral operators on triebel-lizorkin spaces 

      Al-Qassem, H. M.; Cheng, L. C.; Pan, Y. ( Universitat Autonoma de Barcelona, Seccio de Matematiques , 2012 , Article)
      We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results.
    • On certain estimates for marcinkiewicz integrals and extrapolation 

      Al-Qassem, Hussain; Pan, Yibiao ( Universidad de Barcelona , 2009 , Article)
      We obtain Lp estimates for parametric Marcinkiewicz integrals associated to polynomial mappings and with rough kernels on the unit sphere as well as on the radial direction. These estimates will allow us to use an extrapolation ...
    • On certain rough maximal operators and singular integrals 

      Al-Qassem, H. M. (2007 , Article)
      We study the L p mapping properties of a class of singular integral operators T p,Ω,h related to polynomial mappings. We prove that this class of singular operators and some of its related maximal operators are bounded on ...
    • On the boundedness of a class of rough maximal operators on product spaces 

      Al-Qassem, Hussain M.; Cheng, Leslie C.; Pan, Yibiao (2011 , Article)
      In this paper, we study the Lp boundedness of a class of maximal operators T (γ) {Ωj} and a related class of rough singular integrals on product spaces. We obtain appropriate Lp estimates for such maximal operators and ...
    • Rough oscillatory singular integrals on ℝⁿ 

      Al-Qassem, Hussain Mohammad; Cheng, Leslie; Pan, Yibiao ( Instytut Matematyczny , 2014 , Article)
      We establish sharp bounds for oscillatory singular integrals with an arbitrary real polynomial phase P. The kernels are allowed to be rough both on the unit sphere and in the radial direction. We show that the bounds grow ...
    • Weighted estimates for rough parametric Marcinkiewicz integrals 

      Al-Qassem, Hussain Mohammed ( Korean Mathematical Society , 2007 , Article)
      We establish a weighted norm inequality for a class of rough parametric Marcinkiewicz integral operators . As an application of this inequality, we obtain weighted inequalities for a class of parametric Marcinkiewicz ...