Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Continuity of the complex Monge-Ampere operator on compact Kahler manifolds

Xing, Yang LU (2009) In Mathematische Zeitschrift 263(2). p.331-344
Abstract
We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zeriahi on a complete description of the range of the complex Monge-Ampere operator in the class of w-plurisubharmonic functions with vanishing complex Monge-Ampere mass on all pluripolar sets. As a by-product we obtain a stability theorem of solutions of complex Monge-Ampere equations in some subclass.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
complex Monge-Ampere operator, compact Kahler manifold
in
Mathematische Zeitschrift
volume
263
issue
2
pages
331 - 344
publisher
Springer
external identifiers
  • scopus:70350036002
ISSN
0025-5874
DOI
10.1007/s00209-008-0420-8
language
English
LU publication?
no
id
13f76cbf-b53a-4265-bf99-a428c45393af (old id 1465082)
date added to LUP
2016-04-01 12:08:59
date last changed
2022-03-28 20:56:36
@article{13f76cbf-b53a-4265-bf99-a428c45393af,
  abstract     = {{We prove several approximation theorems of the complex Monge-Ampere operator on a compact Kahler manifold. As an application we give a new proof of a recent result of Guedj and Zeriahi on a complete description of the range of the complex Monge-Ampere operator in the class of w-plurisubharmonic functions with vanishing complex Monge-Ampere mass on all pluripolar sets. As a by-product we obtain a stability theorem of solutions of complex Monge-Ampere equations in some subclass.}},
  author       = {{Xing, Yang}},
  issn         = {{0025-5874}},
  keywords     = {{complex Monge-Ampere operator; compact Kahler manifold}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{331--344}},
  publisher    = {{Springer}},
  series       = {{Mathematische Zeitschrift}},
  title        = {{Continuity of the complex Monge-Ampere operator on compact Kahler manifolds}},
  url          = {{http://dx.doi.org/10.1007/s00209-008-0420-8}},
  doi          = {{10.1007/s00209-008-0420-8}},
  volume       = {{263}},
  year         = {{2009}},
}