Continuity of plurisubharmonic envelopes in C2

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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


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
ID Code:21427
Deposited By:Nihat Gökhan Göğüş
Deposited On:12 Feb 2013 12:38
Last Modified:01 Aug 2019 10:13

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