| Authors |
|
| Publication date |
2010
|
| Journal |
Indiana University Mathematics Journal
|
| Volume | Issue number |
59 | 5
|
| Pages (from-to) |
1793-1800
|
| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
|
| Abstract |
We prove that every bounded finely plurisubharmonic function can be locally (in the pluri-fine topology) written as the difference of two usual plurisubharmonic functions. As a consequence, finely plurisubharmonic functions are continuous with respect to the pluri-fine topology. Moreover, we show that − ∞ sets of finely plurisubharmonic functions are pluripolar, hence graphs of finely holomorphic functions are pluripolar.
|
| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.1512/iumj.2010.59.4078
|
| Published at |
http://www.iumj.indiana.edu/IUMJ/FULLTEXT/2010/59/4078
|
|
Permalink to this page
|