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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 decoupling for Cantor-like sets
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by Ciprian Demeter PDF
Proc. Amer. Math. Soc. 147 (2019), 1037-1050 Request permission

Abstract:

We consider partitions of the parabola determined by Cantor-like sets and prove decouplings in the range $2\le p\le 6$ that are independent of the parameters defining these sets.
References
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Additional Information
  • Ciprian Demeter
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
  • MR Author ID: 734783
  • Email: demeterc@@indiana.edu
  • Received by editor(s): June 25, 2017
  • Published electronically: December 6, 2018
  • Additional Notes: The author was partially supported by the NSF Grant DMS-1161752.
  • Communicated by: Alexander Iosevich
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 1037-1050
  • MSC (2010): Primary 42A16; Secondary 52C99
  • DOI: https://doi.org/10.1090/proc/14325
  • MathSciNet review: 3896054