In this paper, we give an $L^p$ version of Hardy's uncertainty principles for a large class of integral and $q$-integral transforms. As an applications, we discuss an $L^p$ version of Hardy's theorem for the generalized Fourier transform associated with the Sturm-Liouville operator and for the Jacobi-Dunkl transform.
Commun. Math. Anal.
17(1):
23-34
(2014).