Hardy’s inequalities for the twisted convolution with Laguerre functions

Journal of inequalities and applications

Jinsen Xiao¹ 

关键词: Hardy’s inequality;    special Hermite expansions;    Laguerre function;    Heisenberg group;    Fourier transform;    43A85;    44A12;    52A38;   

DOI  :  10.1186/s13660-017-1498-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY