Laeng-Morpurgo-Type Uncertainty Inequalities for the Laguerre Transform |
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Authors: | Fethi SOLTANI |
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Institution: | Facult\''e des Sciences de Tunis, Laboratoire d''Analyse Math\''ematique et Applications LR11ES11, Universit\''e de Tunis El Manar, Tunis 2092, Tunisia; Ecole Nationale d''Ing\''enieurs de Carthage, Universit\''e de Carthage, Tunis 2035, 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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Keywords: | Laeng-Morpurgo-type inequality local-type inequality Heisenberg-Pauli-Weyl-type inequality |
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