Laeng-Morpurgo-type uncertainty inequalities for the Laguerre transform
Received:March 01, 2021  Revised:March 01, 2021
Key Word: Laeng-Morpurgo-type inequality   local-type inequality   Heisenberg-Pauli-Weyl- type inequalityLaeng-Morpurgo-type inequality   local-type inequality   Heisenberg-Pauli-Weyl- type inequality  
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Fethi Ahmed SOLTANI National Engineering School of Carthage National Engineering School of Carthage, Street of the Employers 45, Charguia 2 - 2035 Tunis, Tunisia
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Abstract:
      In this work, we prove Clarkson-type and Nash-type inequalities for the Laguerre transform $\mathfrak{F}_L$ on $\mathbb{M}=[0, \infty)\times \mathbb{R}$. By combining these inequalities, we show Laeng-Morpurgo-type uncertainty inequalities. We establish also a local-type uncertainty inequalities for the Laguerre transform $\mathfrak{F}_L$, and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.
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