Continuity of the complex Monge-Ampere operator on compact Kahler manifolds
(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:
https://lup.lub.lu.se/record/1465082
- author
- Xing, Yang LU
- publishing date
- 2009
- 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}}, }