Continuity properties of finely plurisubharmonic functions and pluripolarity
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| Publication date | 2010 |
| Journal | Indiana University Mathematics Journal |
| Volume | Issue number | 59 | 5 |
| Pages (from-to) | 1793-1800 |
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| 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
(Final published version)
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