Document Type
Article
Date
5-31-2007
Disciplines
Mathematics
Description/Abstract
Let (X, w) be a compact Kahler manifold. We introduce and study the largest set DMA(X, w) of w-plurisubharmonic (psh) functions on which the complex Monge-Ampere operator is well defined. It is much larger than the corresponding local domain of definition, though still a proper subset of the set PSH(X, w) of all w-psh functions. We prove that certain twisted Monge-Ampere operators are well defined for all w-psh functions. As a consequence, any w-psh function with slightly attenuated singularities has finite weighted Monge-Ampere energy.
Recommended Citation
Coman, Dan; Guedj, Vincent; and Zeriahi, Ahmed, "Domains of Definition of Monge-Ampère Operators on Compact Kähler Manifolds" (2007). Mathematics - All Scholarship. 20.
https://surface.syr.edu/mat/20
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information look at http://arxiv.org/abs/0705.4529