Browsing Mathematics, Statistics & Physics by Subject "Marcinkiewicz Integral"

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    • 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 ...

    • 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.