与拉盖尔函数扭曲卷积的哈代不等式。
Hardy's inequalities for the twisted convolution with Laguerre functions.
作者信息
Xiao Jinsen, He Jianxun
机构信息
School of Sciences, Guangdong University of Petrochemical Technology, Maoming, 525000 P.R. China.
School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006 P.R. China.
出版信息
J Inequal Appl. 2017;2017(1):226. doi: 10.1186/s13660-017-1498-5. Epub 2017 Sep 15.
Abstract
In this article, two types of Hardy's inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the Heisenberg group approach.
摘要
本文研究了与拉盖尔函数扭曲卷积的两类哈代不等式。证明主要基于通过海森堡群方法推导出的特殊埃尔米特函数的海森堡左不变向量的估计。
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