Search results for: Mongi Rachdi
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In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp. As application, we obtain the Pitt’s inequality for power weights.
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ANNALI DELL'UNIVERSITA' DI FERRARA > 2015 > 61 > 2 > 201-218
In the present paper, we investigate in Dunkl analysis, the action of some fundamental operators on the atomic Hardy space $$H^1_k$$ H k 1 .
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Ricerche di Matematica > 2015 > 64 > 1 > 195-215
In the present paper, we study first the behavior at infinity of the Riesz potential for Dunkl transform of a non compactly supported function. Second, we give for $$1 < p \le q < +\infty $$ 1 < p ≤ q < + ∞ , weighted $$Lp\rightarrow Lq$$ L p → L q boundedness of the Riesz potentials with sufficient conditions. As application, we prove a weighted generalized Sobolev...
