Sharper uncertainty principles associated with L^p‐norm

Abstract

Motivated by the well-established phase derivative embedded technique, this study devotes to sharper uncertainty principles related to the L p -norm type of uncertainty product, giving rise to two kinds of uncertainty inequalities that improve the classical result through providing tighter lower bounds. The conditions that truly reach these better estimates are obtained. Examples and simulations are carried out to verify the correctness of the derived results, and finally, possible applications in time-frequency analysis are also given. KEYWORDS complex-valued functions, Hausdorff-Young inequality, Hölder's inequality, phase derivative, uncertainty principle MSC CLASSIFICATION 42A38, 41A35, 28A10 Math Meth Appl Sci. 2020;43:6663-6676.wileyonlinelibrary.com/journal/mma