Local and global 𝐶-regularity

Göğüş, Ni̇hat

doi:10.1090/S0002-9947-07-04400-5

Local and global $C$-regularity
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by Ni̇hat Gökhan Göğüş PDF

Trans. Amer. Math. Soc. 360 (2008), 2693-2707 Request permission

Abstract:

A bounded domain $D$ is called $c$-regular if the plurisubharmonic envelope of every continuous function on $\overline D$ extends continuously to $\overline D$. We show using Gauthier’s Fusion Lemma that a domain is locally $c$-regular if and only if it is $c$-regular.

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