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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

Local and global $ C$-regularity

Author(s): Nihat Gökhan Gögüs
Journal: Trans. Amer. Math. Soc. 360 (2008), 2693-2707.
MSC (2000): Primary 32U15
Posted: December 11, 2007
MathSciNet review: 2373330
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Abstract | References | Similar articles | Additional information

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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Additional Information:

Nihat Gökhan Gögüs
Affiliation: Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244
Address at time of publication: Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla, 34956, Istanbul, Turkey
Email: nggogus@syr.edu, nggogus@sabanciuniv.edu

DOI: 10.1090/S0002-9947-07-04400-5
PII: S 0002-9947(07)04400-5
Received by editor(s): October 28, 2005
Received by editor(s) in revised form: August 2, 2006
Posted: December 11, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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