# Weak convergence of currents

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

## Abstract

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.

## Detaljer

Författare
Externa organisationer
• Umeå University
Forskningsområden

### Ämnesklassifikation (UKÄ) – OBLIGATORISK

• Matematik
Originalspråk engelska 253-264 Mathematische Zeitschrift 260 2 Published - 2008 Forskning Ja Ja