The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds
(2010) In Canadian Journal of Mathematics 62(1). p.218-239- Abstract
- We introduce a wide subclass F(X, w) of quasi-plurisubharmonic functions in a compact Kahler manifold, on which the complex Monge-Ampere operator is well defined and the convergence theorem is valid. We also prove that F(X, w) is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1571147
- author
- Xing, Yang LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- complex Monge-Ampere operator, compact Kahler manifold
- in
- Canadian Journal of Mathematics
- volume
- 62
- issue
- 1
- pages
- 218 - 239
- publisher
- Canadian Mathematical Society
- external identifiers
-
- wos:000274370000012
- scopus:76749153433
- ISSN
- 0008-414X
- DOI
- 10.4153/CJM-2010-012-7
- language
- English
- LU publication?
- yes
- id
- 817a89c5-bd45-461c-8b83-d851e43b1ebc (old id 1571147)
- date added to LUP
- 2016-04-01 14:29:45
- date last changed
- 2022-01-28 00:51:58
@article{817a89c5-bd45-461c-8b83-d851e43b1ebc, abstract = {{We introduce a wide subclass F(X, w) of quasi-plurisubharmonic functions in a compact Kahler manifold, on which the complex Monge-Ampere operator is well defined and the convergence theorem is valid. We also prove that F(X, w) is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class.}}, author = {{Xing, Yang}}, issn = {{0008-414X}}, keywords = {{complex Monge-Ampere operator; compact Kahler manifold}}, language = {{eng}}, number = {{1}}, pages = {{218--239}}, publisher = {{Canadian Mathematical Society}}, series = {{Canadian Journal of Mathematics}}, title = {{The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds}}, url = {{http://dx.doi.org/10.4153/CJM-2010-012-7}}, doi = {{10.4153/CJM-2010-012-7}}, volume = {{62}}, year = {{2010}}, }