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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
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}},
}