CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: All articles in the CJM digital archive with keyword complex Monge--Ampère operator

  Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2009 (vol 62 pp. 218)

Xing, Yang
The General Definition of the Complex Monge--Ampère Operator on Compact Kähler Manifolds
We introduce a wide subclass ${\mathcal F}(X,\omega)$ of quasi-plurisubharmonic functions in a compact Kähler manifold, on which the complex Monge-Ampère operator is well defined and the convergence theorem is valid. We also prove that ${\mathcal F}(X,\omega)$ is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class.

Keywords:complex Monge--Ampère operator, compact Kähler manifold
Categories:32W20, 32Q15

© Canadian Mathematical Society, 2014 : https://cms.math.ca/