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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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Behavior of the squeezing function near h-extendible boundary points
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by Nikolai Nikolov PDF
Proc. Amer. Math. Soc. 146 (2018), 3455-3457 Request permission

Abstract:

It is shown that if the squeezing function tends to one at an h-extendible boundary point of a $\mathcal {C}^\infty$-smooth, bounded pseudoconvex domain, then the point is strictly pseudoconvex.
References
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Additional Information
  • Nikolai Nikolov
  • Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria – and – Faculty of Information Sciences, State University of Library Studies and Information Technologies, Shipchenski prohod 69A, 1574 Sofia, Bulgaria
  • MR Author ID: 332842
  • Email: nik@math.bas.bg
  • Received by editor(s): August 19, 2017
  • Received by editor(s) in revised form: December 1, 2017
  • Published electronically: April 18, 2018
  • Communicated by: Harold P. Boas
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 3455-3457
  • MSC (2010): Primary 32F45, 32T25
  • DOI: https://doi.org/10.1090/proc/14049
  • MathSciNet review: 3803670