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On the boundedness of pseudo-differential operators associated with the Dunkl transform on the real line
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Béchir Amri
,
Sami Mustapha
Published/Copyright:
May 31, 2010
Abstract
In this paper we consider pseudo-differential operators associated with the Dunkl transform on the real line. We establish the Calderón–Vaillancourt theorem for such operators. We also obtain the Lp-boundedness for the Hörmander's class 
(0 ≤ δ < 1).
Received: 2009-03-28
Published Online: 2010-05-31
Published in Print: 2011-January
© de Gruyter 2010
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Articles in the same Issue
- Weighted Lp-solutions on unbounded intervals of nonlinear integral equations of the Hammerstein and Urysohn types
- Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory
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