Maximal plurisubharmonic models
| dc.creator | Tomassini, Giuseppe | |
| dc.creator | Venturini, Sergio | |
| dc.date | 2008-06-07 | |
| dc.date.accessioned | 2026-07-07T09:43:16Z | |
| dc.date.available | 2026-07-07T09:43:16Z | |
| dc.description | An analytic pair of dimension n and center V is a pair (V, M) where M is a complex manifold of (complex) dimension n and V is a closed totally real analytic submanifold of dimension n. To an analytic pair (V, M) we associate the class of the functions u from M to a positive bounded interval which are plurisubharmonic in M and such that u(p) = 0 for each p in V. If the class admits a maximal function u, the triple (V, M, u) is said to be a maximal plurisubharmonic model. After defining a pseudo-metric E(V,M) on the center V of an analytic pair (V, M) we prove (see Theorem 4.1, Theorem 5.1) that maximal plurisubharmonic models provide a natural generalization of the Monge-Ampere models introduced by Lempert and Szoke in [16]. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0806.1275 | |
| dc.identifier | http://arxiv.org/abs/0806.1275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162493 | |
| dc.subject | Complex Variables | |
| dc.subject | 32F45; 32C09 | |
| dc.title | Maximal plurisubharmonic models | |
| dc.type | text |