Browsing Mathematics, Statistics & Physics by Subject "Triebel-Lizorkin spaces"

Now showing items 1-3 of 3

    • Boundedness of rough integral operators on triebel-lizorkin spaces 

      Al-Qassem, H. M.; Cheng, L. C.; Pan, Y. ( Universitat Autonoma de Barcelona, Seccio de Matematiques , 2012 , Article)
      We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results.

    • 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 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 ...