Weak convergence of currents
type: Item
instance of: scholarly article
title: Weak convergence of currents
zbMATH Open document ID: 1165.32016
author: Yang Xing
published in: Mathematische Zeitschrift
publication date: 2008-09-09T00:00:00Z
review text: The author gives various conditions to ensure the weak convergence \(u_kT_k\rightarrow uT\) of currents , where \(u_k, u\) are plurisubharmonic functions and \(T_k, T\) are positive closed currents. As an application, the author proves that if the \(u_k\)'s are bounded below by some plurisubharmonic function with bounded boundary values, then convergence \(u_k\rightarrow u\) in capacity implies weak convergence of the complex Monge-Ampère measures \((dd^cu_k)^n\rightarrow (dd^cu)^n\).
reviewed by: Oliver Jones
Mathematics Subject Classification ID: 32U40
Mathematics Subject Classification ID: 32U05
zbMATH DE Number: 5323321
zbMATH Keywords: positive closed currents
zbMATH Keywords: complex Monge-Ampere measures
zbMATH Keywords: plurisubharmonic functions
MaRDI profile type: Publication
full work available at URL: s00209-007-0271-8
OpenAlex ID: W2040408043
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DOI: 10.1007/S00209-007-0271-8
description: scientific article; zbMATH DE number 5323321