The Hausdorff-Young inequality on Lie groups
Functional Analysis
2020-11-10 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1807.04670,
title = {The Hausdorff-Young inequality on Lie groups},
author = {Michael G. Cowling and Alessio Martini and Detlef Müller and Javier Parcet},
journal= {arXiv preprint arXiv:1807.04670},
year = {2020}
}
Comments
29 pages