Skip to main content
SLU publication database (SLUpub)

Abstract

We give certain conditions to guarantee weak convergence u(k)T(k) -> 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-Ampere measures (dd(c)u(k) )(n) if all of the plurisubharmonic functions u(k) are bounded below by one of some sorts of plurisubharmonic functions.

Published in

Mathematische Zeitschrift
2008, volume: 260, number: 2, pages: 253-264
Publisher: SPRINGER

SLU Authors

  • Xing, Yang

    • Umeå University

UKÄ Subject classification

Other Mathematics

Publication identifier

  • DOI: https://doi.org/10.1007/s00209-007-0271-8

Permanent link to this page (URI)

https://res.slu.se/id/publ/18939