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Research article2008Peer reviewed

Weak convergence of currents

Xing, Yang

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

    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