Archivio Istituzionale della RicercaWe 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.
The Hausdorff–Young inequality on Lie groups / Cowling, M. G.; Martini, A.; Muller, D.; Parcet, J.. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - STAMPA. - 375:1-2(2019), pp. 93-131. [10.1007/s00208-018-01799-9]
The Hausdorff–Young inequality on Lie groups
Martini A.;
2019
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.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2949498