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The General Definition of the Complex Monge-Ampere Operator on Compact Kahler Manifolds

Xing, Yang LU (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:
author
organization
publishing date
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
2010-03-16 14:30:09
date last changed
2018-11-21 20:27:18
@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},
  keyword      = {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},
  volume       = {62},
  year         = {2010},
}