• Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces 

      Al-Qassem, Hussain; Cheng, Leslie; Pan, Yibiao ( Hindawi Publishing Corporation , 2016 , Article)
      We establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy space H 1 (R n). The logarithmic rate of growth is the best possible. 2016 Hussain Al-Qassem et al.
    • 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 ...