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
基金项目:
作者单位
Fethi SOLTANI 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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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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