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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A counterexample to the existence of peaking functions
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by Jiye Yu PDF
Proc. Amer. Math. Soc. 125 (1997), 2385-2390 Request permission

Abstract:

We construct a smoothly bounded pseudoconvex domain whose boundary contains no complex analytic variety such that some boundary point admits no holomorphic peak function.
References
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Additional Information
  • Jiye Yu
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • Address at time of publication: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • Email: jyu@math.tamu.edu, yu@math.wisc.edu
  • Received by editor(s): February 29, 1996
  • Additional Notes: Supported in part by NSF grant number DMS-9500916.
  • Communicated by: Eric Bedford
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2385-2390
  • MSC (1991): Primary 32F15, 32F25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03936-1
  • MathSciNet review: 1401757