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Volume 8, Issue 4, Article 108 |
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On the $L^p$ Boundedness of Rough Parametric Marcinkiewicz Functions
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Authors: |
Ahmad Al-Salman, Hussain Al-Qassem, |
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Keywords:
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Parametric Marcinkiewicz operators, rough kernels, Fourier transforms, Parametric maximal functions. |
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Date Received:
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07/11/06 |
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Date Accepted:
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25/11/07 |
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Subject Codes: |
Pri 42B20; Sec 42B15, 42B25.
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Editors: |
Lokenath Debnath, |
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Abstract: |
In this paper, we study the  boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in  . Our result in this paper solves an open problem left by the authors of ([6]).
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