Affiliation:
1. Faculté des Sciences de Tunis, Laboratoire d’Analyse Mathématique et Applications LR11ES11, Université de Tunis El Manar, Tunis 2092, Tunisia
2. Ecole Nationale d’Ingénieurs de Carthage, Université de Carthage, Tunis 2035, Tunisia
Abstract
Let [Formula: see text], and let [Formula: see text], [Formula: see text], the Lebesgue spaces associated with the Dunkl–Weinstein operator [Formula: see text]. In this paper, we prove Heisenberg-type uncertainty inequalities for the Dunkl–Weinstein transform [Formula: see text] on [Formula: see text]; specifically, we establish a local-type uncertainty inequality for the Dunkl–Weinstein transform [Formula: see text], and we deduce Heisenberg-Pauli-Weyl-type inequality for this transform on [Formula: see text]. Next, we prove Clarkson-type and Nash-type inequalities for the Dunkl–Weinstein transform [Formula: see text] on [Formula: see text]. Finally, by combining these inequalities, we show Laeng–Morpurgo-type uncertainty inequalities for [Formula: see text] on [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Cited by
1 articles.
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