Göğüş, Nihat Gökhan and Şahutoğlu, Sönmez (2012) Continuity of plurisubharmonic envelopes in C2. (Accepted/In Press)
![Warning](/style/images/warning.png)
There is a more recent version of this item available.
![[thumbnail of GogusSahutoglu_Creg.pdf]](https://research.sabanciuniv.edu/style/images/fileicons/application_pdf.png)
GogusSahutoglu_Creg.pdf
Restricted to Registered users only
Download (158kB) | Request a copy
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 |
---|---|
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: | 20 Oct 2012 16:56 |
Last Modified: | 31 Jul 2019 12:04 |
URI: | https://research.sabanciuniv.edu/id/eprint/19800 |
Available Versions of this Item
- Continuity of plurisubharmonic envelopes in C2. (deposited 20 Oct 2012 16:56) [Currently Displayed]