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The class Bp for weighted generalized Fourier transform inequalities
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Abstract 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.
Walter de Gruyter GmbH
Title: The class Bp for weighted generalized Fourier transform inequalities
Description:
Abstract 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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