Continuity of the complex Monge-Ampere operator
| dc.creator | Xing, Yang | |
| dc.date | 1994-06-30 | |
| dc.date.accessioned | 2026-07-07T09:15:07Z | |
| dc.date.available | 2026-07-07T09:15:07Z | |
| dc.description | The complex Monge-Ampère operator $(dd^c)^n$ is an important tool in complex analysis. It would be interesting to find the right notion of convergence $u_j\to u$ such that $(dd^cu_j)^n\to (dd^cu)^n$ in the weak topology. In this paper, using the $C_{n-1}$-capacity, we give a sufficient condition of the weak convergence $(dd^cu_j)^n\to (dd^cu)^n$. We also show that our condition is quite sharp in some case. | |
| dc.identifier | https://arxiv.org/abs/math/9406201 | |
| dc.identifier | http://arxiv.org/abs/math/9406201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152910 | |
| dc.subject | Complex Variables | |
| dc.subject | 32 | |
| dc.title | Continuity of the complex Monge-Ampere operator | |
| dc.type | text |