论文标题
Hausdorff-Young的超级组平等
Equality in Hausdorff-Young for Hypergroups
论文作者
论文摘要
It has been shown in "On the Hausdorff-Young theorem for commutative hypergroups" by Sina Degenfeld-Schonburg, that one can extend the domain of Fourier transform of a commutative hypergroup $K$ to $L^p(K)$ for $1\leq p \leq 2$, and the Hausdorff-Young inequality holds true for these cases.在本文中，我们在$ l^p（k）$中检查了非零功能在Hausdorff-Young不平等中获得平等的$，价格为$ 1 <P <2 $，并进一步为具有非平常中心的通勤超级群体的基本不确定性原则提供了特征。
It has been shown in "On the Hausdorff-Young theorem for commutative hypergroups" by Sina Degenfeld-Schonburg, that one can extend the domain of Fourier transform of a commutative hypergroup $K$ to $L^p(K)$ for $1\leq p \leq 2$, and the Hausdorff-Young inequality holds true for these cases. In this article, we examine the structure of non-zero functions in $L^p(K)$ for which equality is attained in the Hausdorff-Young inequality, for $1<p<2$, and further provide a characterization for the basic uncertainty principle for commutative hypergroups with non-trivial centre.
