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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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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Additional Information
  • Ni̇hat Gökhan Göğüş
  • 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
  • Received by editor(s): October 28, 2005
  • Received by editor(s) in revised form: August 2, 2006
  • Published electronically: December 11, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 2693-2707
  • MSC (2000): Primary 32U15
  • DOI: https://doi.org/10.1090/S0002-9947-07-04400-5
  • MathSciNet review: 2373330