A decoupling for Cantor-like sets
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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