We show that in *\mathbb{C}^2* 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... Show more

September 22, 2012

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Continuity of Plurisubharmonic Envelopes in $\mathbb{C}^2$

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