Weak convergence of currents
(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:
https://lup.lub.lu.se/record/1465035
- author
- Xing, Yang LU
- publishing date
- 2008
- 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
- 2016-04-01 12:28:27
- date last changed
- 2022-01-27 05:32:12
@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}},
doi = {{10.1007/s00209-007-0271-8}},
volume = {{260}},
year = {{2008}},
}