A variation of Lp local uncertainty principles for Weinstein transform

Abstract

The main crux of this paper is to introduce $L^p$ local uncertainty inequalities for the Weinstein transform, and we study $L^p$ version of the Heisenberg-Pauli-Weyl uncertainty inequalities for this transform. Then, by using the $L^p$ local uncertainty inequalities for the Weinstein transform and the tools of Donoho-Stark, we obtain uncertainty principles of concentration in the $L^p$ theory, for all $1 p \leq 2$.