Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform

Fethi Soltani; Slim Ben Rejeb

doi:10.56754/0719-0646.2502.321

Authors

Fethi Soltani Faculté des Sciences de Tunis, Laboratoire d’Analyse Mathématique et Applications LR11ES11, Université de Tunis El Manar, Tunis 2092, Tunisia – École Nationale d’Ingénieurs de Carthage, Université de Carthage, Tunis 2035, Tunisia. https://orcid.org/0000-0001-7519-0994
Slim Ben Rejeb Faculté des Sciences de Tunis, Laboratoire d’Analyse Mathématique et Applications LR11ES11, Université de Tunis El Manar, Tunis 2092, Tunisia. https://orcid.org/0009-0007-0812-5480

DOI:

https://doi.org/10.56754/0719-0646.2502.321

Keywords:

Laeng-Morpurgo-type inequality, local-type inequality, Heisenberg-Pauli-Weyl-type inequality

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.

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