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Weak convergence of currents

Xing, Yang LU (2008) In Mathematische Zeitschrift 260(2). p.253-264
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.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematische Zeitschrift
volume
260
issue
2
pages
253 - 264
publisher
Springer
external identifiers
  • scopus:49049088409
ISSN
0025-5874
DOI
10.1007/s00209-007-0271-8
language
English
LU publication?
no
id
608e261b-a1dd-4206-8697-9d8fef5a98b3 (old id 1465035)
date added to LUP
2009-08-20 13:54:18
date last changed
2017-01-01 05:10:29
@article{608e261b-a1dd-4206-8697-9d8fef5a98b3,
  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.},
  author       = {Xing, Yang},
  issn         = {0025-5874},
  language     = {eng},
  number       = {2},
  pages        = {253--264},
  publisher    = {Springer},
  series       = {Mathematische Zeitschrift},
  title        = {Weak convergence of currents},
  url          = {http://dx.doi.org/10.1007/s00209-007-0271-8},
  volume       = {260},
  year         = {2008},
}