A variation of \(L^p\) uncertainty principles in Weinstein setting (Q828951)

The author establishes a generalization of uncertainty principles for the Weinstein transform in the \(L_\alpha^p\)-norm. The Heisenberg-Pauli-Weyl uncertainty principle is extended to a more general case. Three continuous uncertainty principles of concentration type in the \(L_\alpha^p\)-norm are also proved. These \(L_\alpha^p\)-Donoho-Stark-type inequalities generalize the results obtained in the case \(p = q = 2\).