The Hausdorff–Young inequality on Lie groups

被引：0
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作者：
Michael G. Cowling
Alessio Martini
Detlef Müller
Javier Parcet
机构：
[1] University of New South Wales,School of Mathematics and Statistics
[2] University of Birmingham,School of Mathematics
[3] Christian-Albrechts-Universität zu Kiel,Mathematisches Seminar
[4] Instituto de Ciencias Matemáticas,undefined
[5] Consejo Superior de Investigaciones Científicas,undefined
来源：
Mathematische Annalen | 2019年 / 375卷
关键词：
22E30; 43A15; 43A30;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.
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页码：93 / 131
页数：38
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