• 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 ...
    • 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 ...