L-Fourier multipliers for the Dunkl operator on the real line |
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Authors: | Fethi Soltani |
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Affiliation: | Department of Mathematics, Faculty of Sciences of Tunis, Campus University, 1060 Tunis, Tunisia |
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Abstract: | We consider Fourier multipliers for Lp associated with the Dunkl operator on and establish a version of Hörmander's multiplier theorem. In applying this version, we come up with some results regarding the oscillating multipliers, partial sum operators and generalized Bessel potentials. |
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Keywords: | primary 43A62 secondary 43A15 43A32 |
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