A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator

The aim of this paper is to prove a generalization of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator in L-p-norm. More precisely, we establish the Heisenberg-Pauli-Weyl uncertainty principle, Donoho-Stark's uncertainty principles and local Cowling-Price's type inequalities. Finally, Pitt's inequality and Beckner's uncertainty principle are proved for this transform.