Browsing by Author "Al-Qassem, H."

Now showing items 1-4 of 4

    • Endpoint Estimates for Oscillatory Singular Integrals with H�lder Class Kernels 

      Al-Qassem H.; Cheng L.; Pan Y. ( Hindawi Limited , 2019 , Article)
      We prove the uniform L1?L1,? and HE 1?L1 boundedness of oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calder�n-Zygmund kernel K(x,y) satisfying a ...

    • On generalized Littlewood–Paley functions 

      Al-Qassem H.; Cheng L.; Pan Y. ( Springer-Verlag Italia s.r.l. , 2018 , Article)
      We study the Lp boundedness of certain classes of generalized Littlewood–Paley functions S(f). We obtain Lp estimates of S(f) with sharp range of p and under optimal conditions on ?. By using these estimates along with an ...

    • On the Lp boundedness of rough parametric Marcinkiewicz functions 

      Al-Salman, A.; Al-Qassem, H. ( Victoria University , 2007 , Article)
      In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]).

    • Oscillatory Singular Integral Operators with Hölder Class Kernels 

      Al-Qassem H.; Cheng L.; Pan Y. ( Birkhauser Boston , 2019 , Article)
      We establish the boundedness on Lp(Rn) of oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calderón–Zygmund kernel K(x, y) satisfying a Hölder ...