| Title | Weak convergence of currents |
| Authors | Yang Xing |
| Alternative Location | http://dx.doi.org/10.1007/s..., Restricted Access |
| Publication | Mathematische Zeitschrift |
| Year | 2008 |
| Volume | 260 |
| Issue | 2 |
| Pages | 253 - 264 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer Berlin / Heidelberg |
| Abstract English | We give certain condictions to guarantee weak convergence $u_kT_k \rightarrow uT$, where $u_k$, $u$ are plurisubharmonic functions and $T_k$, $T$ are positive closed currents. As applications we obtain that convergence in capacity of plurisubharmonic functions $u_k$ implies weak convergence of the complex Monge-Amp\`ere measures $(dd^cu_k)^n$ if all of the plurisubharmonic functions $u_k$ are bounded below by one of some sorts of plurisubharmonic functions. |
| ISBN/ISSN/Other | ISSN: 0025-5874 (print version) |
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