The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Weak convergence of currents

På svenska

Author

Summary, in 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.

Publishing year

2008

Language

English

Pages

253-264

Publication/Series

Mathematische Zeitschrift

Volume

260

Issue

2

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 0025-5874