A Hausdorff-Young inequality for measured groupoids
| dc.creator | Boivin, Patricia | |
| dc.creator | Renault, Jean | |
| dc.date | 2008-03-15 | |
| dc.date.accessioned | 2026-07-07T09:27:03Z | |
| dc.date.available | 2026-07-07T09:27:03Z | |
| dc.description | The classical Hausdorff-Young inequality for locally compact abelian groups states that, for $1\le p\le 2$, the $L^p$-norm of a function dominates the $L^q$-norm of its Fourier transform, where $1/p+1/q=1$. By using the theory of non-commutative $L^p$-spaces and by reinterpreting the Fourier transform, R. Kunze (1958) [resp. M. Terp (1980)] extended this inequality to unimodular [resp. non-unimodular] groups. The analysis of the $L^p$-spaces of the von Neumann algebra of a measured groupoid provides a further extension of the Hausdorff-Young inequality to measured groupoids. | |
| dc.description | 10 pages, a talk at 2007 Sibiu Conference on von Neumann algebras, operator spaces and free probability theory | |
| dc.identifier | https://arxiv.org/abs/0803.2282 | |
| dc.identifier | http://arxiv.org/abs/0803.2282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156967 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55; 43A35 | |
| dc.title | A Hausdorff-Young inequality for measured groupoids | |
| dc.type | text |