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On the $L^p$ Boundedness of Rough Parametric Marcinkiewicz Functions  
 
  Authors: Ahmad Al-Salman, Hussain Al-Qassem,  
  Keywords: Parametric Marcinkiewicz operators, rough kernels, Fourier transforms, Parametric maximal functions.  
  Date Received: 07/11/06  
  Date Accepted: 25/11/07  
  Subject Codes:

Pri 42B20; Sec 42B15, 42B25.

  
  Editors: Lokenath Debnath,  
 
  Abstract:

In this paper, we study the $ L^p$ boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in $ L(log ^{+}L)(mathbf{S}^{n-1})$. Our result in this paper solves an open problem left by the authors of ([6]).;


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