Quantitative property A, Poincare inequalities, L^p-compression and L^p-distortion for metric measure spaces
| dc.creator | Tessera, Romain | |
| dc.date | 2007-02-13 | |
| dc.date | 2007-06-28 | |
| dc.date.accessioned | 2026-07-07T08:12:47Z | |
| dc.date.available | 2026-07-07T08:12:47Z | |
| dc.description | We introduce a quantitative version of Property A in order to estimate the L^p-compressions of a metric measure space X. We obtain various estimates for spaces with sub-exponential volume growth. This quantitative property A also appears to be useful to yield upper bounds on the L^p-distortion of finite metric spaces. Namely, we obtain new optimal results for finite subsets of homogeneous Riemannian manifolds. We also introduce a general form of Poincare inequalities that provide constraints on compressions, and lower bounds on distortion. These inequalities are used to prove the optimality of some of our results. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702384 | |
| dc.identifier | http://arxiv.org/abs/math/0702384 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132578 | |
| dc.subject | Metric Geometry | |
| dc.subject | Primary 51F99; Secondary 43A85 | |
| dc.title | Quantitative property A, Poincare inequalities, L^p-compression and L^p-distortion for metric measure spaces | |
| dc.type | text |