Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform
-
Published:2023-08-01
Issue:2
Volume:25
Page:321-329
-
ISSN:0719-0646
-
Container-title:Cubo (Temuco)
-
language:
-
Short-container-title:Cubo (Temuco, Online)
Author:
Soltani FethiORCID,
Ben Rejeb SlimORCID
Abstract
In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform $\mathscr{F}_W$ on $\mathbb{K}=\mathbb{R}^{d-1}\times[0,\infty)$, we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform $\mathscr{F}_W$, and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.
Publisher
Universidad de La Frontera
Subject
Geometry and Topology,Logic,Algebra and Number Theory,Analysis