Browsing Mathematics, Statistics & Physics by Author "Pan, Yibiao"

Now showing items 1-5 of 5

    • 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.

    • 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 integral operators and extrapolation 

      Al-Qassem, Hussain; Cheng, Leslie; Pan, Yibiao ( Victoria university , 2009 , Article)
      In this paper, we obtain sharp Lp estimates of two classes of maximal operators related to rough singular integrals and Marcinkiewicz integrals. These estimates will be used to obtain similar estimates for the related ...

    • 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 ...