| Title | Convergence in capacity |
| Authors | Yang Xing |
| Alternative Location | http://aif.cedram.org/cedra..., Restricted Access |
| Publication | Annales de l'Institut Fourier |
| Year | 2008 |
| Volume | 58 |
| Issue | 5 |
| Pages | 1839 - 1861 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Association des Annales de l'Institut Fourier |
| Abstract English | We study the relationship between convergence in capacities of plurisubharmonic functions and the convergence of the corresponding complex Monge-Ampère measures. We find one type of convergence of complex Monge-Ampère measures which is essentially equivalent to convergence in the capacity C n of functions. We also prove that weak convergence of complex Monge-Ampère measures is equivalent to convergence in the capacity C n-1 of functions in some case. As applications we give certain stability theorems of solutions of Monge-Ampère equations. |
| ISBN/ISSN/Other | ISSN: 03730956 |
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