A variety of uncertainty principles for the Hankel-Stockwell transform

In this work, we establish L p local uncertainty principle for the Hankel-Stockwell transform and we deduce L p version of Heisenberg-Pauli-Weyl uncertainty principle. Next, By combining these principles and the techniques of Donoho-Stark we present uncertainty principles of concentration type in the L p theory, when 1 < p ⩽ 2 . Finally, Pitt’s inequality and Beckner’s uncertainty principle are proved for this transform.