scholarly journals Lp-Fourier multipliers for the Dunkl operator on the real line

2004 ◽  
Vol 209 (1) ◽  
pp. 16-35 ◽  
Author(s):  
Fethi Soltani
Keyword(s):  
Real Line ◽  
Fourier Multipliers ◽  
Dunkl Operator ◽  
The Real

scholarly journals Dunkl Translation and Uncentered Maximal Operator on the Real Line

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Chokri Abdelkefi ◽  
Mohamed Sifi
Keyword(s):  
Characteristic Function ◽  
Real Line ◽  
Maximal Operator ◽  
Weak Type ◽  
Dunkl Operator ◽  
The Real

We establish estimates of the Dunkl translation of the characteristic functionχ[−ɛ,ɛ],ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type(1,1). As a consequence, we obtain theLp-boundedness of this operator for1<p≤+∞.

Calderon?s Reproducing Formula Related to the Dunkl Operator on the Real Line

2002 ◽  
Vol 136 (1) ◽  
pp. 47-65 ◽  
Author(s):  
Mohamed A. Mourou ◽  
Khalifa Trim�che
Keyword(s):  
Real Line ◽  
Dunkl Operator ◽  
The Real
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