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Journal of the American Mathematical Society

Published by the American Mathematical Society, the Journal of the American Mathematical Society (JAMS) is devoted to research articles of the highest quality in all areas of mathematics.

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Quasianalyticity and pluripolarity
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by Dan Coman, Norman Levenberg and Evgeny A. Poletsky
J. Amer. Math. Soc. 18 (2005), 239-252
DOI: https://doi.org/10.1090/S0894-0347-05-00478-9
Published electronically: January 18, 2005

Abstract:

We show that the graph \[ \Gamma _f=\{(z,f(z))\in {\mathbb {C}}^2: z\in S\}\] in ${\mathbb {C}}^2$ of a function $f$ on the unit circle $S$ which is either continuous and quasianalytic in the sense of Bernstein or $C^\infty$ and quasianalytic in the sense of Denjoy is pluripolar.
References
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Bibliographic Information
  • Dan Coman
  • Affiliation: Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244
  • MR Author ID: 325057
  • Email: dcoman@syr.edu
  • Norman Levenberg
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • MR Author ID: 113190
  • Email: nlevenbe@indiana.edu
  • Evgeny A. Poletsky
  • Affiliation: Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, New York 13244
  • MR Author ID: 197859
  • Email: eapolets@syr.edu
  • Received by editor(s): December 2, 2002
  • Published electronically: January 18, 2005
  • Additional Notes: The first and the last authors were supported by NSF grants
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 18 (2005), 239-252
  • MSC (2000): Primary 26E10, 32U20; Secondary 32U35, 32U15, 32U05
  • DOI: https://doi.org/10.1090/S0894-0347-05-00478-9
  • MathSciNet review: 2137977