Göğüş, Nihat Gökhan and Şahutoğlu, Sönmez (2012) Continuity of plurisubharmonic envelopes in C2. International Journal of Mathematics, 23 (12). ISSN 0129-167X (Print) 1793-6519 (Online)
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Official URL: http://dx.doi.org/10.1142/S0129167X12501248
Abstract
We show that in C2 if the set of strongly regular points are closed in the boundary of a smooth bounded pseudoconvex domain, then the domain is c-regular, that is, the plurisubharmonic upper envelopes of functions continuous up to the boundary are continuous on the closure of the domain. Using this result we prove that smooth bounded pseudoconvex Reinhardt domains in C2 are c-regular.
| Item Type: | Article |
|---|---|
| Additional Information: | Article number: 1250124 |
| Uncontrolled Keywords: | Jensen measure; plurisubharmonic envelopes; Reinhardt domains |
| Subjects: | Q Science > QA Mathematics > QA299.6-433 Analysis |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 12 Feb 2013 12:38 |
| Last Modified: | 01 Aug 2019 10:13 |
| URI: | https://research.sabanciuniv.edu/id/eprint/21427 |
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Continuity of plurisubharmonic envelopes in C2. (deposited 20 Oct 2012 16:56)
- Continuity of plurisubharmonic envelopes in C2. (deposited 12 Feb 2013 12:38) [Currently Displayed]
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