| Fethi SOLTANI.Laeng-Morpurgo-Type Uncertainty Inequalities for the Laguerre Transform[J].数学研究及应用,2022,42(1):8~14 |
| Laeng-Morpurgo-Type Uncertainty Inequalities for the Laguerre Transform |
| Laeng-Morpurgo-Type Uncertainty Inequalities for the Laguerre Transform |
| 投稿时间：2021-03-01 修订日期：2021-05-20 |
| DOI：10.3770/j.issn:2095-2651.2022.01.002 |
| 中文关键词: Laeng-Morpurgo-type inequality local-type inequality Heisenberg-Pauli-Weyl-type inequality |
| 英文关键词:Laeng-Morpurgo-type inequality local-type inequality Heisenberg-Pauli-Weyl-type inequality |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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