Browsing Mathematics, Statistics & Physics by Subject "Block spaces"

Now showing items 1-7 of 7

    • Certain estimates of oscillatory integrals and extrapolation 

      Al-Qassem, Hussain (2010 , Article)
      In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we ...

    • 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 estimates of rough oscillatory singular integrals 

      Al-Qassem, H. M. (2011 , Article)
      We obtain appropriate sharp estimates for rough oscillatory integrals with polynomial phase. Our results represent significant improvements as well as natural extensions of what was known previously.

    • 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 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 ...

    • On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces 

      Al-Qassem, Hussain; Cheng, Leslie; Pan, Yi Biao ( springer link , 2011 , Article)
      We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase. By using these bounds and using an extrapolation argument we obtain some new and previously known results ...

    • 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 ...